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Finding the Fourth Proportional to 174.95, 263.44 and 129.61

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Solution

The fourth proportional to 174.95, 263.44 and 129.61 is: 195.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.95 : 263.44 = 129.61 : x
  2. Step 2: Convert to fraction form
    174.95/263.44 = 129.61/x
  3. Step 3: Cross multiply
    174.95x = 263.44 × 129.61
  4. Step 4: Simplify right side
    174.95x = 34,144.46
  5. Step 5: Solve for x
    x = 34,144.46/174.95
  6. Step 6: Final answer
    x = 195.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.