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Finding the Fourth Proportional to 342.42, 513.63 and 159.78

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Solution

The fourth proportional to 342.42, 513.63 and 159.78 is: 239.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.42 : 513.63 = 159.78 : x
  2. Step 2: Convert to fraction form
    342.42/513.63 = 159.78/x
  3. Step 3: Cross multiply
    342.42x = 513.63 × 159.78
  4. Step 4: Simplify right side
    342.42x = 82,067.80
  5. Step 5: Solve for x
    x = 82,067.80/342.42
  6. Step 6: Final answer
    x = 239.67

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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.