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Finding the Fourth Proportional to 265.28, 399.77 and 252.92

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Solution

The fourth proportional to 265.28, 399.77 and 252.92 is: 381.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.28 : 399.77 = 252.92 : x
  2. Step 2: Convert to fraction form
    265.28/399.77 = 252.92/x
  3. Step 3: Cross multiply
    265.28x = 399.77 × 252.92
  4. Step 4: Simplify right side
    265.28x = 101,106.56
  5. Step 5: Solve for x
    x = 101,106.56/265.28
  6. Step 6: Final answer
    x = 381.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.