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Finding the Fourth Proportional to 229.31, 345.13 and 171.85

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Solution

The fourth proportional to 229.31, 345.13 and 171.85 is: 258.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.31 : 345.13 = 171.85 : x
  2. Step 2: Convert to fraction form
    229.31/345.13 = 171.85/x
  3. Step 3: Cross multiply
    229.31x = 345.13 × 171.85
  4. Step 4: Simplify right side
    229.31x = 59,308.97
  5. Step 5: Solve for x
    x = 59,308.97/229.31
  6. Step 6: Final answer
    x = 258.64

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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.