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Finding the Fourth Proportional to 511.97, 768.10 and 146.75

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Solution

The fourth proportional to 511.97, 768.10 and 146.75 is: 220.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.97 : 768.10 = 146.75 : x
  2. Step 2: Convert to fraction form
    511.97/768.10 = 146.75/x
  3. Step 3: Cross multiply
    511.97x = 768.10 × 146.75
  4. Step 4: Simplify right side
    511.97x = 112,720.23
  5. Step 5: Solve for x
    x = 112,720.23/511.97
  6. Step 6: Final answer
    x = 220.17

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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.