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Finding the Fourth Proportional to 265.82, 396.36 and 259.61

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Solution

The fourth proportional to 265.82, 396.36 and 259.61 is: 387.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.82 : 396.36 = 259.61 : x
  2. Step 2: Convert to fraction form
    265.82/396.36 = 259.61/x
  3. Step 3: Cross multiply
    265.82x = 396.36 × 259.61
  4. Step 4: Simplify right side
    265.82x = 102,897.04
  5. Step 5: Solve for x
    x = 102,897.04/265.82
  6. Step 6: Final answer
    x = 387.10

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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.