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Finding the Fourth Proportional to 160.11, 217.89 and 159.30

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Solution

The fourth proportional to 160.11, 217.89 and 159.30 is: 216.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.11 : 217.89 = 159.30 : x
  2. Step 2: Convert to fraction form
    160.11/217.89 = 159.30/x
  3. Step 3: Cross multiply
    160.11x = 217.89 × 159.30
  4. Step 4: Simplify right side
    160.11x = 34,709.88
  5. Step 5: Solve for x
    x = 34,709.88/160.11
  6. Step 6: Final answer
    x = 216.79

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.