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Finding the Fourth Proportional to 160.15, 221.90 and 156.69

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Solution

The fourth proportional to 160.15, 221.90 and 156.69 is: 217.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.15 : 221.90 = 156.69 : x
  2. Step 2: Convert to fraction form
    160.15/221.90 = 156.69/x
  3. Step 3: Cross multiply
    160.15x = 221.90 × 156.69
  4. Step 4: Simplify right side
    160.15x = 34,770.73
  5. Step 5: Solve for x
    x = 34,770.73/160.15
  6. Step 6: Final answer
    x = 217.11

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.