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Finding the Fourth Proportional to 418.27, 624.41 and 363.61

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Solution

The fourth proportional to 418.27, 624.41 and 363.61 is: 542.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.27 : 624.41 = 363.61 : x
  2. Step 2: Convert to fraction form
    418.27/624.41 = 363.61/x
  3. Step 3: Cross multiply
    418.27x = 624.41 × 363.61
  4. Step 4: Simplify right side
    418.27x = 227,041.72
  5. Step 5: Solve for x
    x = 227,041.72/418.27
  6. Step 6: Final answer
    x = 542.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.