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Finding the Fourth Proportional to 115.78, 172.81 and 88.60

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Solution

The fourth proportional to 115.78, 172.81 and 88.60 is: 132.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.78 : 172.81 = 88.60 : x
  2. Step 2: Convert to fraction form
    115.78/172.81 = 88.60/x
  3. Step 3: Cross multiply
    115.78x = 172.81 × 88.60
  4. Step 4: Simplify right side
    115.78x = 15,310.97
  5. Step 5: Solve for x
    x = 15,310.97/115.78
  6. Step 6: Final answer
    x = 132.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.