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Finding the Fourth Proportional to 160.05, 220.41 and 139.29

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Solution

The fourth proportional to 160.05, 220.41 and 139.29 is: 191.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.05 : 220.41 = 139.29 : x
  2. Step 2: Convert to fraction form
    160.05/220.41 = 139.29/x
  3. Step 3: Cross multiply
    160.05x = 220.41 × 139.29
  4. Step 4: Simplify right side
    160.05x = 30,700.91
  5. Step 5: Solve for x
    x = 30,700.91/160.05
  6. Step 6: Final answer
    x = 191.82

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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.