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Finding the Fourth Proportional to 343.52, 514.99 and 138.03

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Solution

The fourth proportional to 343.52, 514.99 and 138.03 is: 206.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.52 : 514.99 = 138.03 : x
  2. Step 2: Convert to fraction form
    343.52/514.99 = 138.03/x
  3. Step 3: Cross multiply
    343.52x = 514.99 × 138.03
  4. Step 4: Simplify right side
    343.52x = 71,082.31
  5. Step 5: Solve for x
    x = 71,082.31/343.52
  6. Step 6: Final answer
    x = 206.92

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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.