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Finding the Fourth Proportional to 253.62, 380.13 and 138.12

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Solution

The fourth proportional to 253.62, 380.13 and 138.12 is: 207.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.62 : 380.13 = 138.12 : x
  2. Step 2: Convert to fraction form
    253.62/380.13 = 138.12/x
  3. Step 3: Cross multiply
    253.62x = 380.13 × 138.12
  4. Step 4: Simplify right side
    253.62x = 52,503.56
  5. Step 5: Solve for x
    x = 52,503.56/253.62
  6. Step 6: Final answer
    x = 207.02

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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.