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Finding the Fourth Proportional to 293.38, 402.75 and 251.87

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Solution

The fourth proportional to 293.38, 402.75 and 251.87 is: 345.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.38 : 402.75 = 251.87 : x
  2. Step 2: Convert to fraction form
    293.38/402.75 = 251.87/x
  3. Step 3: Cross multiply
    293.38x = 402.75 × 251.87
  4. Step 4: Simplify right side
    293.38x = 101,438.63
  5. Step 5: Solve for x
    x = 101,438.63/293.38
  6. Step 6: Final answer
    x = 345.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.