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Finding the Fourth Proportional to 542.08, 748.03 and 306.04

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Solution

The fourth proportional to 542.08, 748.03 and 306.04 is: 422.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.08 : 748.03 = 306.04 : x
  2. Step 2: Convert to fraction form
    542.08/748.03 = 306.04/x
  3. Step 3: Cross multiply
    542.08x = 748.03 × 306.04
  4. Step 4: Simplify right side
    542.08x = 228,927.10
  5. Step 5: Solve for x
    x = 228,927.10/542.08
  6. Step 6: Final answer
    x = 422.31

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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.