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Finding the Fourth Proportional to 159.99, 220.66 and 115.90

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Solution

The fourth proportional to 159.99, 220.66 and 115.90 is: 159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.99 : 220.66 = 115.90 : x
  2. Step 2: Convert to fraction form
    159.99/220.66 = 115.90/x
  3. Step 3: Cross multiply
    159.99x = 220.66 × 115.90
  4. Step 4: Simplify right side
    159.99x = 25,573.65
  5. Step 5: Solve for x
    x = 25,573.65/159.99
  6. Step 6: Final answer
    x = 159.85

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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.