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Finding the Fourth Proportional to 542.76, 748.98 and 309.88

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Solution

The fourth proportional to 542.76, 748.98 and 309.88 is: 427.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.76 : 748.98 = 309.88 : x
  2. Step 2: Convert to fraction form
    542.76/748.98 = 309.88/x
  3. Step 3: Cross multiply
    542.76x = 748.98 × 309.88
  4. Step 4: Simplify right side
    542.76x = 232,093.92
  5. Step 5: Solve for x
    x = 232,093.92/542.76
  6. Step 6: Final answer
    x = 427.62

Related Problems

Find fourth proportional to 271.38, 374.49 and 154.94
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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.