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Finding the Fourth Proportional to 542.78, 748.86 and 306.70

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Solution

The fourth proportional to 542.78, 748.86 and 306.70 is: 423.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.78 : 748.86 = 306.70 : x
  2. Step 2: Convert to fraction form
    542.78/748.86 = 306.70/x
  3. Step 3: Cross multiply
    542.78x = 748.86 × 306.70
  4. Step 4: Simplify right side
    542.78x = 229,672.34
  5. Step 5: Solve for x
    x = 229,672.34/542.78
  6. Step 6: Final answer
    x = 423.14

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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.