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Finding the Fourth Proportional to 295.97, 408.48 and 171.65

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Solution

The fourth proportional to 295.97, 408.48 and 171.65 is: 236.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.97 : 408.48 = 171.65 : x
  2. Step 2: Convert to fraction form
    295.97/408.48 = 171.65/x
  3. Step 3: Cross multiply
    295.97x = 408.48 × 171.65
  4. Step 4: Simplify right side
    295.97x = 70,113.55
  5. Step 5: Solve for x
    x = 70,113.55/295.97
  6. Step 6: Final answer
    x = 236.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.