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Finding the Fourth Proportional to 542.39, 748.40 and 395.10

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Solution

The fourth proportional to 542.39, 748.40 and 395.10 is: 545.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.39 : 748.40 = 395.10 : x
  2. Step 2: Convert to fraction form
    542.39/748.40 = 395.10/x
  3. Step 3: Cross multiply
    542.39x = 748.40 × 395.10
  4. Step 4: Simplify right side
    542.39x = 295,690.86
  5. Step 5: Solve for x
    x = 295,690.86/542.39
  6. Step 6: Final answer
    x = 545.17

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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.