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Finding the Fourth Proportional to 252.13, 380.11 and 234.52

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Solution

The fourth proportional to 252.13, 380.11 and 234.52 is: 353.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.13 : 380.11 = 234.52 : x
  2. Step 2: Convert to fraction form
    252.13/380.11 = 234.52/x
  3. Step 3: Cross multiply
    252.13x = 380.11 × 234.52
  4. Step 4: Simplify right side
    252.13x = 89,141.50
  5. Step 5: Solve for x
    x = 89,141.50/252.13
  6. Step 6: Final answer
    x = 353.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.