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Finding the Fourth Proportional to 252.40, 377.96 and 138.16

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Solution

The fourth proportional to 252.40, 377.96 and 138.16 is: 206.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.40 : 377.96 = 138.16 : x
  2. Step 2: Convert to fraction form
    252.40/377.96 = 138.16/x
  3. Step 3: Cross multiply
    252.40x = 377.96 × 138.16
  4. Step 4: Simplify right side
    252.40x = 52,218.95
  5. Step 5: Solve for x
    x = 52,218.95/252.40
  6. Step 6: Final answer
    x = 206.89

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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.