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Finding the Fourth Proportional to 417.38, 627.48 and 326.25

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Solution

The fourth proportional to 417.38, 627.48 and 326.25 is: 490.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.38 : 627.48 = 326.25 : x
  2. Step 2: Convert to fraction form
    417.38/627.48 = 326.25/x
  3. Step 3: Cross multiply
    417.38x = 627.48 × 326.25
  4. Step 4: Simplify right side
    417.38x = 204,715.35
  5. Step 5: Solve for x
    x = 204,715.35/417.38
  6. Step 6: Final answer
    x = 490.48

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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.