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Finding the Fourth Proportional to 297.54, 448.56 and 249.75

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Solution

The fourth proportional to 297.54, 448.56 and 249.75 is: 376.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.54 : 448.56 = 249.75 : x
  2. Step 2: Convert to fraction form
    297.54/448.56 = 249.75/x
  3. Step 3: Cross multiply
    297.54x = 448.56 × 249.75
  4. Step 4: Simplify right side
    297.54x = 112,027.86
  5. Step 5: Solve for x
    x = 112,027.86/297.54
  6. Step 6: Final answer
    x = 376.51

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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.