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Finding the Fourth Proportional to 265.98, 399.31 and 225.66

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Solution

The fourth proportional to 265.98, 399.31 and 225.66 is: 338.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.98 : 399.31 = 225.66 : x
  2. Step 2: Convert to fraction form
    265.98/399.31 = 225.66/x
  3. Step 3: Cross multiply
    265.98x = 399.31 × 225.66
  4. Step 4: Simplify right side
    265.98x = 90,109.37
  5. Step 5: Solve for x
    x = 90,109.37/265.98
  6. Step 6: Final answer
    x = 338.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.