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Finding the Fourth Proportional to 417.08, 625.57 and 143.20

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Solution

The fourth proportional to 417.08, 625.57 and 143.20 is: 214.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.08 : 625.57 = 143.20 : x
  2. Step 2: Convert to fraction form
    417.08/625.57 = 143.20/x
  3. Step 3: Cross multiply
    417.08x = 625.57 × 143.20
  4. Step 4: Simplify right side
    417.08x = 89,581.62
  5. Step 5: Solve for x
    x = 89,581.62/417.08
  6. Step 6: Final answer
    x = 214.78

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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.