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Finding the Fourth Proportional to 542.23, 748.27 and 309.35

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Solution

The fourth proportional to 542.23, 748.27 and 309.35 is: 426.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.23 : 748.27 = 309.35 : x
  2. Step 2: Convert to fraction form
    542.23/748.27 = 309.35/x
  3. Step 3: Cross multiply
    542.23x = 748.27 × 309.35
  4. Step 4: Simplify right side
    542.23x = 231,480.16
  5. Step 5: Solve for x
    x = 231,480.16/542.23
  6. Step 6: Final answer
    x = 426.91

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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.