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Finding the Fourth Proportional to 115.49, 159.27 and 97.99

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Solution

The fourth proportional to 115.49, 159.27 and 97.99 is: 135.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.49 : 159.27 = 97.99 : x
  2. Step 2: Convert to fraction form
    115.49/159.27 = 97.99/x
  3. Step 3: Cross multiply
    115.49x = 159.27 × 97.99
  4. Step 4: Simplify right side
    115.49x = 15,606.10
  5. Step 5: Solve for x
    x = 15,606.10/115.49
  6. Step 6: Final answer
    x = 135.13

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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.