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Finding the Fourth Proportional to 542.76, 749.08 and 306.78

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Solution

The fourth proportional to 542.76, 749.08 and 306.78 is: 423.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.76 : 749.08 = 306.78 : x
  2. Step 2: Convert to fraction form
    542.76/749.08 = 306.78/x
  3. Step 3: Cross multiply
    542.76x = 749.08 × 306.78
  4. Step 4: Simplify right side
    542.76x = 229,800.34
  5. Step 5: Solve for x
    x = 229,800.34/542.76
  6. Step 6: Final answer
    x = 423.40

Related Problems

Find fourth proportional to 271.38, 374.54 and 153.39
Half scale
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Double scale
Find fourth proportional to 543.76, 750.46 and 307.78
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.