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Finding the Fourth Proportional to 265.65, 395.97 and 252.66

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Solution

The fourth proportional to 265.65, 395.97 and 252.66 is: 376.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.65 : 395.97 = 252.66 : x
  2. Step 2: Convert to fraction form
    265.65/395.97 = 252.66/x
  3. Step 3: Cross multiply
    265.65x = 395.97 × 252.66
  4. Step 4: Simplify right side
    265.65x = 100,045.78
  5. Step 5: Solve for x
    x = 100,045.78/265.65
  6. Step 6: Final answer
    x = 376.61

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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.