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Finding the Fourth Proportional to 115.99, 160.17 and 99.52

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Solution

The fourth proportional to 115.99, 160.17 and 99.52 is: 137.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.99 : 160.17 = 99.52 : x
  2. Step 2: Convert to fraction form
    115.99/160.17 = 99.52/x
  3. Step 3: Cross multiply
    115.99x = 160.17 × 99.52
  4. Step 4: Simplify right side
    115.99x = 15,940.12
  5. Step 5: Solve for x
    x = 15,940.12/115.99
  6. Step 6: Final answer
    x = 137.43

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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.