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Finding the Fourth Proportional to 265.40, 399.62 and 249.20

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Solution

The fourth proportional to 265.40, 399.62 and 249.20 is: 375.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.40 : 399.62 = 249.20 : x
  2. Step 2: Convert to fraction form
    265.40/399.62 = 249.20/x
  3. Step 3: Cross multiply
    265.40x = 399.62 × 249.20
  4. Step 4: Simplify right side
    265.40x = 99,585.30
  5. Step 5: Solve for x
    x = 99,585.30/265.40
  6. Step 6: Final answer
    x = 375.23

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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.