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Finding the Fourth Proportional to 288.97, 398.35 and 249.45

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Solution

The fourth proportional to 288.97, 398.35 and 249.45 is: 343.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.97 : 398.35 = 249.45 : x
  2. Step 2: Convert to fraction form
    288.97/398.35 = 249.45/x
  3. Step 3: Cross multiply
    288.97x = 398.35 × 249.45
  4. Step 4: Simplify right side
    288.97x = 99,368.41
  5. Step 5: Solve for x
    x = 99,368.41/288.97
  6. Step 6: Final answer
    x = 343.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.