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Finding the Fourth Proportional to 342.42, 513.74 and 147.34

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Solution

The fourth proportional to 342.42, 513.74 and 147.34 is: 221.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.42 : 513.74 = 147.34 : x
  2. Step 2: Convert to fraction form
    342.42/513.74 = 147.34/x
  3. Step 3: Cross multiply
    342.42x = 513.74 × 147.34
  4. Step 4: Simplify right side
    342.42x = 75,694.45
  5. Step 5: Solve for x
    x = 75,694.45/342.42
  6. Step 6: Final answer
    x = 221.06

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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.