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Finding the Fourth Proportional to 229.20, 343.92 and 138.08

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Solution

The fourth proportional to 229.20, 343.92 and 138.08 is: 207.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.20 : 343.92 = 138.08 : x
  2. Step 2: Convert to fraction form
    229.20/343.92 = 138.08/x
  3. Step 3: Cross multiply
    229.20x = 343.92 × 138.08
  4. Step 4: Simplify right side
    229.20x = 47,486.75
  5. Step 5: Solve for x
    x = 47,486.75/229.20
  6. Step 6: Final answer
    x = 207.18

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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.