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Finding the Fourth Proportional to 160.39, 221.39 and 101.47

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Solution

The fourth proportional to 160.39, 221.39 and 101.47 is: 140.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.39 : 221.39 = 101.47 : x
  2. Step 2: Convert to fraction form
    160.39/221.39 = 101.47/x
  3. Step 3: Cross multiply
    160.39x = 221.39 × 101.47
  4. Step 4: Simplify right side
    160.39x = 22,464.80
  5. Step 5: Solve for x
    x = 22,464.80/160.39
  6. Step 6: Final answer
    x = 140.07

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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.