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Finding the Fourth Proportional to 542.49, 748.66 and 306.54

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Solution

The fourth proportional to 542.49, 748.66 and 306.54 is: 423.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.49 : 748.66 = 306.54 : x
  2. Step 2: Convert to fraction form
    542.49/748.66 = 306.54/x
  3. Step 3: Cross multiply
    542.49x = 748.66 × 306.54
  4. Step 4: Simplify right side
    542.49x = 229,494.24
  5. Step 5: Solve for x
    x = 229,494.24/542.49
  6. Step 6: Final answer
    x = 423.04

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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.