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Finding the Fourth Proportional to 159.89, 220.46 and 140.16

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Solution

The fourth proportional to 159.89, 220.46 and 140.16 is: 193.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.89 : 220.46 = 140.16 : x
  2. Step 2: Convert to fraction form
    159.89/220.46 = 140.16/x
  3. Step 3: Cross multiply
    159.89x = 220.46 × 140.16
  4. Step 4: Simplify right side
    159.89x = 30,898.97
  5. Step 5: Solve for x
    x = 30,898.97/159.89
  6. Step 6: Final answer
    x = 193.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.