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Finding the Fourth Proportional to 417.11, 624.85 and 243.41

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Solution

The fourth proportional to 417.11, 624.85 and 243.41 is: 364.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.11 : 624.85 = 243.41 : x
  2. Step 2: Convert to fraction form
    417.11/624.85 = 243.41/x
  3. Step 3: Cross multiply
    417.11x = 624.85 × 243.41
  4. Step 4: Simplify right side
    417.11x = 152,091.01
  5. Step 5: Solve for x
    x = 152,091.01/417.11
  6. Step 6: Final answer
    x = 364.63

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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.