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Finding the Fourth Proportional to 160.55, 221.60 and 101.57

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Solution

The fourth proportional to 160.55, 221.60 and 101.57 is: 140.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.55 : 221.60 = 101.57 : x
  2. Step 2: Convert to fraction form
    160.55/221.60 = 101.57/x
  3. Step 3: Cross multiply
    160.55x = 221.60 × 101.57
  4. Step 4: Simplify right side
    160.55x = 22,508.72
  5. Step 5: Solve for x
    x = 22,508.72/160.55
  6. Step 6: Final answer
    x = 140.20

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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.