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Finding the Fourth Proportional to 658.14, 908.18 and 363.42

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Solution

The fourth proportional to 658.14, 908.18 and 363.42 is: 501.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.14 : 908.18 = 363.42 : x
  2. Step 2: Convert to fraction form
    658.14/908.18 = 363.42/x
  3. Step 3: Cross multiply
    658.14x = 908.18 × 363.42
  4. Step 4: Simplify right side
    658.14x = 330,050.78
  5. Step 5: Solve for x
    x = 330,050.78/658.14
  6. Step 6: Final answer
    x = 501.49

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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.