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Finding the Fourth Proportional to 291.29, 402.17 and 180.78

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Solution

The fourth proportional to 291.29, 402.17 and 180.78 is: 249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.29 : 402.17 = 180.78 : x
  2. Step 2: Convert to fraction form
    291.29/402.17 = 180.78/x
  3. Step 3: Cross multiply
    291.29x = 402.17 × 180.78
  4. Step 4: Simplify right side
    291.29x = 72,703.39
  5. Step 5: Solve for x
    x = 72,703.39/291.29
  6. Step 6: Final answer
    x = 249.60

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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.