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Finding the Fourth Proportional to 372.38, 513.96 and 225.10

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Solution

The fourth proportional to 372.38, 513.96 and 225.10 is: 310.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.38 : 513.96 = 225.10 : x
  2. Step 2: Convert to fraction form
    372.38/513.96 = 225.10/x
  3. Step 3: Cross multiply
    372.38x = 513.96 × 225.10
  4. Step 4: Simplify right side
    372.38x = 115,692.40
  5. Step 5: Solve for x
    x = 115,692.40/372.38
  6. Step 6: Final answer
    x = 310.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.