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Finding the Fourth Proportional to 542.76, 749.04 and 309.84

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Solution

The fourth proportional to 542.76, 749.04 and 309.84 is: 427.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.76 : 749.04 = 309.84 : x
  2. Step 2: Convert to fraction form
    542.76/749.04 = 309.84/x
  3. Step 3: Cross multiply
    542.76x = 749.04 × 309.84
  4. Step 4: Simplify right side
    542.76x = 232,082.55
  5. Step 5: Solve for x
    x = 232,082.55/542.76
  6. Step 6: Final answer
    x = 427.60

Related Problems

Find fourth proportional to 271.38, 374.52 and 154.92
Half scale
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Double scale
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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.