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Finding the Fourth Proportional to 265.83, 396.49 and 249.29

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Solution

The fourth proportional to 265.83, 396.49 and 249.29 is: 371.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.83 : 396.49 = 249.29 : x
  2. Step 2: Convert to fraction form
    265.83/396.49 = 249.29/x
  3. Step 3: Cross multiply
    265.83x = 396.49 × 249.29
  4. Step 4: Simplify right side
    265.83x = 98,839.75
  5. Step 5: Solve for x
    x = 98,839.75/265.83
  6. Step 6: Final answer
    x = 371.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.