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Finding the Fourth Proportional to 115.75, 159.74 and 88.14

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Solution

The fourth proportional to 115.75, 159.74 and 88.14 is: 121.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.75 : 159.74 = 88.14 : x
  2. Step 2: Convert to fraction form
    115.75/159.74 = 88.14/x
  3. Step 3: Cross multiply
    115.75x = 159.74 × 88.14
  4. Step 4: Simplify right side
    115.75x = 14,079.48
  5. Step 5: Solve for x
    x = 14,079.48/115.75
  6. Step 6: Final answer
    x = 121.64

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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.