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Finding the Fourth Proportional to 229.97, 317.04 and 171.65

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Solution

The fourth proportional to 229.97, 317.04 and 171.65 is: 236.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.97 : 317.04 = 171.65 : x
  2. Step 2: Convert to fraction form
    229.97/317.04 = 171.65/x
  3. Step 3: Cross multiply
    229.97x = 317.04 × 171.65
  4. Step 4: Simplify right side
    229.97x = 54,419.92
  5. Step 5: Solve for x
    x = 54,419.92/229.97
  6. Step 6: Final answer
    x = 236.64

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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.