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Finding the Fourth Proportional to 172.15, 258.25 and 63.92

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Solution

The fourth proportional to 172.15, 258.25 and 63.92 is: 95.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.15 : 258.25 = 63.92 : x
  2. Step 2: Convert to fraction form
    172.15/258.25 = 63.92/x
  3. Step 3: Cross multiply
    172.15x = 258.25 × 63.92
  4. Step 4: Simplify right side
    172.15x = 16,507.34
  5. Step 5: Solve for x
    x = 16,507.34/172.15
  6. Step 6: Final answer
    x = 95.89

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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.