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Finding the Fourth Proportional to 160.32, 221.41 and 138.15

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Solution

The fourth proportional to 160.32, 221.41 and 138.15 is: 190.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.32 : 221.41 = 138.15 : x
  2. Step 2: Convert to fraction form
    160.32/221.41 = 138.15/x
  3. Step 3: Cross multiply
    160.32x = 221.41 × 138.15
  4. Step 4: Simplify right side
    160.32x = 30,587.10
  5. Step 5: Solve for x
    x = 30,587.10/160.32
  6. Step 6: Final answer
    x = 190.79

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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.