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Finding the Fourth Proportional to 486.97, 730.25 and 140.23

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Solution

The fourth proportional to 486.97, 730.25 and 140.23 is: 210.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.97 : 730.25 = 140.23 : x
  2. Step 2: Convert to fraction form
    486.97/730.25 = 140.23/x
  3. Step 3: Cross multiply
    486.97x = 730.25 × 140.23
  4. Step 4: Simplify right side
    486.97x = 102,402.96
  5. Step 5: Solve for x
    x = 102,402.96/486.97
  6. Step 6: Final answer
    x = 210.29

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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.