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Finding the Fourth Proportional to 417.89, 627.11 and 255.25

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Solution

The fourth proportional to 417.89, 627.11 and 255.25 is: 383.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.89 : 627.11 = 255.25 : x
  2. Step 2: Convert to fraction form
    417.89/627.11 = 255.25/x
  3. Step 3: Cross multiply
    417.89x = 627.11 × 255.25
  4. Step 4: Simplify right side
    417.89x = 160,070.29
  5. Step 5: Solve for x
    x = 160,070.29/417.89
  6. Step 6: Final answer
    x = 383.04

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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.