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Finding the Fourth Proportional to 342.11, 512.98 and 159.46

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Solution

The fourth proportional to 342.11, 512.98 and 159.46 is: 239.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.11 : 512.98 = 159.46 : x
  2. Step 2: Convert to fraction form
    342.11/512.98 = 159.46/x
  3. Step 3: Cross multiply
    342.11x = 512.98 × 159.46
  4. Step 4: Simplify right side
    342.11x = 81,799.79
  5. Step 5: Solve for x
    x = 81,799.79/342.11
  6. Step 6: Final answer
    x = 239.10

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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.