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Finding the Fourth Proportional to 310.97, 429.14 and 171.10

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Solution

The fourth proportional to 310.97, 429.14 and 171.10 is: 236.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.97 : 429.14 = 171.10 : x
  2. Step 2: Convert to fraction form
    310.97/429.14 = 171.10/x
  3. Step 3: Cross multiply
    310.97x = 429.14 × 171.10
  4. Step 4: Simplify right side
    310.97x = 73,425.85
  5. Step 5: Solve for x
    x = 73,425.85/310.97
  6. Step 6: Final answer
    x = 236.12

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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.