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Finding the Fourth Proportional to 512.09, 767.96 and 146.78

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Solution

The fourth proportional to 512.09, 767.96 and 146.78 is: 220.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.09 : 767.96 = 146.78 : x
  2. Step 2: Convert to fraction form
    512.09/767.96 = 146.78/x
  3. Step 3: Cross multiply
    512.09x = 767.96 × 146.78
  4. Step 4: Simplify right side
    512.09x = 112,720.03
  5. Step 5: Solve for x
    x = 112,720.03/512.09
  6. Step 6: Final answer
    x = 220.12

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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.