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Finding the Fourth Proportional to 265.48, 399.90 and 249.28

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Solution

The fourth proportional to 265.48, 399.90 and 249.28 is: 375.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.48 : 399.90 = 249.28 : x
  2. Step 2: Convert to fraction form
    265.48/399.90 = 249.28/x
  3. Step 3: Cross multiply
    265.48x = 399.90 × 249.28
  4. Step 4: Simplify right side
    265.48x = 99,685.83
  5. Step 5: Solve for x
    x = 99,685.83/265.48
  6. Step 6: Final answer
    x = 375.49

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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.