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Finding the Fourth Proportional to 312.12, 429.59 and 249.75

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Solution

The fourth proportional to 312.12, 429.59 and 249.75 is: 343.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.12 : 429.59 = 249.75 : x
  2. Step 2: Convert to fraction form
    312.12/429.59 = 249.75/x
  3. Step 3: Cross multiply
    312.12x = 429.59 × 249.75
  4. Step 4: Simplify right side
    312.12x = 107,290.10
  5. Step 5: Solve for x
    x = 107,290.10/312.12
  6. Step 6: Final answer
    x = 343.75

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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.