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Finding the Fourth Proportional to 160.43, 220.91 and 142.70

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Solution

The fourth proportional to 160.43, 220.91 and 142.70 is: 196.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.43 : 220.91 = 142.70 : x
  2. Step 2: Convert to fraction form
    160.43/220.91 = 142.70/x
  3. Step 3: Cross multiply
    160.43x = 220.91 × 142.70
  4. Step 4: Simplify right side
    160.43x = 31,522.04
  5. Step 5: Solve for x
    x = 31,522.04/160.43
  6. Step 6: Final answer
    x = 196.49

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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.