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Finding the Fourth Proportional to 115.25, 172.46 and 63.95

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Solution

The fourth proportional to 115.25, 172.46 and 63.95 is: 95.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.25 : 172.46 = 63.95 : x
  2. Step 2: Convert to fraction form
    115.25/172.46 = 63.95/x
  3. Step 3: Cross multiply
    115.25x = 172.46 × 63.95
  4. Step 4: Simplify right side
    115.25x = 11,027.79
  5. Step 5: Solve for x
    x = 11,027.79/115.25
  6. Step 6: Final answer
    x = 95.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.