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Finding the Fourth Proportional to 312.87, 431.85 and 251.13

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Solution

The fourth proportional to 312.87, 431.85 and 251.13 is: 346.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.87 : 431.85 = 251.13 : x
  2. Step 2: Convert to fraction form
    312.87/431.85 = 251.13/x
  3. Step 3: Cross multiply
    312.87x = 431.85 × 251.13
  4. Step 4: Simplify right side
    312.87x = 108,450.49
  5. Step 5: Solve for x
    x = 108,450.49/312.87
  6. Step 6: Final answer
    x = 346.63

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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.