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Finding the Fourth Proportional to 265.16, 399.57 and 252.80

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Solution

The fourth proportional to 265.16, 399.57 and 252.80 is: 380.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.16 : 399.57 = 252.80 : x
  2. Step 2: Convert to fraction form
    265.16/399.57 = 252.80/x
  3. Step 3: Cross multiply
    265.16x = 399.57 × 252.80
  4. Step 4: Simplify right side
    265.16x = 101,011.30
  5. Step 5: Solve for x
    x = 101,011.30/265.16
  6. Step 6: Final answer
    x = 380.94

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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.