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Finding the Fourth Proportional to 417.13, 625.34 and 185.96

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Solution

The fourth proportional to 417.13, 625.34 and 185.96 is: 278.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.13 : 625.34 = 185.96 : x
  2. Step 2: Convert to fraction form
    417.13/625.34 = 185.96/x
  3. Step 3: Cross multiply
    417.13x = 625.34 × 185.96
  4. Step 4: Simplify right side
    417.13x = 116,290.25
  5. Step 5: Solve for x
    x = 116,290.25/417.13
  6. Step 6: Final answer
    x = 278.79

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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.