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Finding the Fourth Proportional to 342.28, 513.52 and 159.80

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Solution

The fourth proportional to 342.28, 513.52 and 159.80 is: 239.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.28 : 513.52 = 159.80 : x
  2. Step 2: Convert to fraction form
    342.28/513.52 = 159.80/x
  3. Step 3: Cross multiply
    342.28x = 513.52 × 159.80
  4. Step 4: Simplify right side
    342.28x = 82,060.50
  5. Step 5: Solve for x
    x = 82,060.50/342.28
  6. Step 6: Final answer
    x = 239.75

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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.