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Finding the Fourth Proportional to 512.34, 768.50 and 147.14

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Solution

The fourth proportional to 512.34, 768.50 and 147.14 is: 220.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.34 : 768.50 = 147.14 : x
  2. Step 2: Convert to fraction form
    512.34/768.50 = 147.14/x
  3. Step 3: Cross multiply
    512.34x = 768.50 × 147.14
  4. Step 4: Simplify right side
    512.34x = 113,077.09
  5. Step 5: Solve for x
    x = 113,077.09/512.34
  6. Step 6: Final answer
    x = 220.71

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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.