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Finding the Fourth Proportional to 440.07, 658.49 and 362.31

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Solution

The fourth proportional to 440.07, 658.49 and 362.31 is: 542.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.07 : 658.49 = 362.31 : x
  2. Step 2: Convert to fraction form
    440.07/658.49 = 362.31/x
  3. Step 3: Cross multiply
    440.07x = 658.49 × 362.31
  4. Step 4: Simplify right side
    440.07x = 238,575.70
  5. Step 5: Solve for x
    x = 238,575.70/440.07
  6. Step 6: Final answer
    x = 542.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.