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Finding the Fourth Proportional to 342.42, 513.71 and 159.90

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Solution

The fourth proportional to 342.42, 513.71 and 159.90 is: 239.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.42 : 513.71 = 159.90 : x
  2. Step 2: Convert to fraction form
    342.42/513.71 = 159.90/x
  3. Step 3: Cross multiply
    342.42x = 513.71 × 159.90
  4. Step 4: Simplify right side
    342.42x = 82,141.43
  5. Step 5: Solve for x
    x = 82,141.43/342.42
  6. Step 6: Final answer
    x = 239.89

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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.