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Finding the Fourth Proportional to 115.73, 172.57 and 98.31

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Solution

The fourth proportional to 115.73, 172.57 and 98.31 is: 146.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.73 : 172.57 = 98.31 : x
  2. Step 2: Convert to fraction form
    115.73/172.57 = 98.31/x
  3. Step 3: Cross multiply
    115.73x = 172.57 × 98.31
  4. Step 4: Simplify right side
    115.73x = 16,964.87
  5. Step 5: Solve for x
    x = 16,964.87/115.73
  6. Step 6: Final answer
    x = 146.60

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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.