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Finding the Fourth Proportional to 160.67, 221.47 and 113.95

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Solution

The fourth proportional to 160.67, 221.47 and 113.95 is: 157.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.67 : 221.47 = 113.95 : x
  2. Step 2: Convert to fraction form
    160.67/221.47 = 113.95/x
  3. Step 3: Cross multiply
    160.67x = 221.47 × 113.95
  4. Step 4: Simplify right side
    160.67x = 25,234.83
  5. Step 5: Solve for x
    x = 25,234.83/160.67
  6. Step 6: Final answer
    x = 157.06

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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.