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Finding the Fourth Proportional to 512.05, 767.97 and 146.85

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Solution

The fourth proportional to 512.05, 767.97 and 146.85 is: 220.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.05 : 767.97 = 146.85 : x
  2. Step 2: Convert to fraction form
    512.05/767.97 = 146.85/x
  3. Step 3: Cross multiply
    512.05x = 767.97 × 146.85
  4. Step 4: Simplify right side
    512.05x = 112,776.39
  5. Step 5: Solve for x
    x = 112,776.39/512.05
  6. Step 6: Final answer
    x = 220.24

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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.