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Finding the Fourth Proportional to 160.23, 221.03 and 101.11

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Solution

The fourth proportional to 160.23, 221.03 and 101.11 is: 139.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.23 : 221.03 = 101.11 : x
  2. Step 2: Convert to fraction form
    160.23/221.03 = 101.11/x
  3. Step 3: Cross multiply
    160.23x = 221.03 × 101.11
  4. Step 4: Simplify right side
    160.23x = 22,348.04
  5. Step 5: Solve for x
    x = 22,348.04/160.23
  6. Step 6: Final answer
    x = 139.47

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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.