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Finding the Fourth Proportional to 342.31, 512.99 and 159.43

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Solution

The fourth proportional to 342.31, 512.99 and 159.43 is: 238.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.31 : 512.99 = 159.43 : x
  2. Step 2: Convert to fraction form
    342.31/512.99 = 159.43/x
  3. Step 3: Cross multiply
    342.31x = 512.99 × 159.43
  4. Step 4: Simplify right side
    342.31x = 81,785.20
  5. Step 5: Solve for x
    x = 81,785.20/342.31
  6. Step 6: Final answer
    x = 238.92

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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.