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Finding the Fourth Proportional to 342.87, 513.99 and 147.78

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Solution

The fourth proportional to 342.87, 513.99 and 147.78 is: 221.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.87 : 513.99 = 147.78 : x
  2. Step 2: Convert to fraction form
    342.87/513.99 = 147.78/x
  3. Step 3: Cross multiply
    342.87x = 513.99 × 147.78
  4. Step 4: Simplify right side
    342.87x = 75,957.44
  5. Step 5: Solve for x
    x = 75,957.44/342.87
  6. Step 6: Final answer
    x = 221.53

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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.