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Finding the Fourth Proportional to 297.66, 444.39 and 254.34

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Solution

The fourth proportional to 297.66, 444.39 and 254.34 is: 379.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.66 : 444.39 = 254.34 : x
  2. Step 2: Convert to fraction form
    297.66/444.39 = 254.34/x
  3. Step 3: Cross multiply
    297.66x = 444.39 × 254.34
  4. Step 4: Simplify right side
    297.66x = 113,026.15
  5. Step 5: Solve for x
    x = 113,026.15/297.66
  6. Step 6: Final answer
    x = 379.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.