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Finding the Fourth Proportional to 343.73, 515.47 and 138.23

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Solution

The fourth proportional to 343.73, 515.47 and 138.23 is: 207.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.73 : 515.47 = 138.23 : x
  2. Step 2: Convert to fraction form
    343.73/515.47 = 138.23/x
  3. Step 3: Cross multiply
    343.73x = 515.47 × 138.23
  4. Step 4: Simplify right side
    343.73x = 71,253.91
  5. Step 5: Solve for x
    x = 71,253.91/343.73
  6. Step 6: Final answer
    x = 207.29

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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.