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Finding the Fourth Proportional to 265.61, 396.57 and 249.21

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Solution

The fourth proportional to 265.61, 396.57 and 249.21 is: 372.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.61 : 396.57 = 249.21 : x
  2. Step 2: Convert to fraction form
    265.61/396.57 = 249.21/x
  3. Step 3: Cross multiply
    265.61x = 396.57 × 249.21
  4. Step 4: Simplify right side
    265.61x = 98,829.21
  5. Step 5: Solve for x
    x = 98,829.21/265.61
  6. Step 6: Final answer
    x = 372.09

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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.