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Finding the Fourth Proportional to 265.48, 396.23 and 243.82

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Solution

The fourth proportional to 265.48, 396.23 and 243.82 is: 363.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.48 : 396.23 = 243.82 : x
  2. Step 2: Convert to fraction form
    265.48/396.23 = 243.82/x
  3. Step 3: Cross multiply
    265.48x = 396.23 × 243.82
  4. Step 4: Simplify right side
    265.48x = 96,608.80
  5. Step 5: Solve for x
    x = 96,608.80/265.48
  6. Step 6: Final answer
    x = 363.90

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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.