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Finding the Fourth Proportional to 292.86, 402.69 and 251.22

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Solution

The fourth proportional to 292.86, 402.69 and 251.22 is: 345.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.86 : 402.69 = 251.22 : x
  2. Step 2: Convert to fraction form
    292.86/402.69 = 251.22/x
  3. Step 3: Cross multiply
    292.86x = 402.69 × 251.22
  4. Step 4: Simplify right side
    292.86x = 101,163.78
  5. Step 5: Solve for x
    x = 101,163.78/292.86
  6. Step 6: Final answer
    x = 345.43

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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.