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Finding the Fourth Proportional to 160.50, 221.54 and 142.14

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Solution

The fourth proportional to 160.50, 221.54 and 142.14 is: 196.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.50 : 221.54 = 142.14 : x
  2. Step 2: Convert to fraction form
    160.50/221.54 = 142.14/x
  3. Step 3: Cross multiply
    160.50x = 221.54 × 142.14
  4. Step 4: Simplify right side
    160.50x = 31,489.70
  5. Step 5: Solve for x
    x = 31,489.70/160.50
  6. Step 6: Final answer
    x = 196.20

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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.