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Finding the Fourth Proportional to 417.68, 626.52 and 129.08

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Solution

The fourth proportional to 417.68, 626.52 and 129.08 is: 193.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.68 : 626.52 = 129.08 : x
  2. Step 2: Convert to fraction form
    417.68/626.52 = 129.08/x
  3. Step 3: Cross multiply
    417.68x = 626.52 × 129.08
  4. Step 4: Simplify right side
    417.68x = 80,871.20
  5. Step 5: Solve for x
    x = 80,871.20/417.68
  6. Step 6: Final answer
    x = 193.62

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