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Finding the Fourth Proportional to 417.47, 624.99 and 243.61

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Solution

The fourth proportional to 417.47, 624.99 and 243.61 is: 364.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.47 : 624.99 = 243.61 : x
  2. Step 2: Convert to fraction form
    417.47/624.99 = 243.61/x
  3. Step 3: Cross multiply
    417.47x = 624.99 × 243.61
  4. Step 4: Simplify right side
    417.47x = 152,253.81
  5. Step 5: Solve for x
    x = 152,253.81/417.47
  6. Step 6: Final answer
    x = 364.71

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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.