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Finding the Fourth Proportional to 417.97, 627.09 and 201.57

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Solution

The fourth proportional to 417.97, 627.09 and 201.57 is: 302.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.97 : 627.09 = 201.57 : x
  2. Step 2: Convert to fraction form
    417.97/627.09 = 201.57/x
  3. Step 3: Cross multiply
    417.97x = 627.09 × 201.57
  4. Step 4: Simplify right side
    417.97x = 126,402.53
  5. Step 5: Solve for x
    x = 126,402.53/417.97
  6. Step 6: Final answer
    x = 302.42

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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.