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Finding the Fourth Proportional to 160.75, 242.09 and 140.70

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Solution

The fourth proportional to 160.75, 242.09 and 140.70 is: 211.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.75 : 242.09 = 140.70 : x
  2. Step 2: Convert to fraction form
    160.75/242.09 = 140.70/x
  3. Step 3: Cross multiply
    160.75x = 242.09 × 140.70
  4. Step 4: Simplify right side
    160.75x = 34,062.79
  5. Step 5: Solve for x
    x = 34,062.79/160.75
  6. Step 6: Final answer
    x = 211.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.