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Finding the Fourth Proportional to 297.91, 444.83 and 256.33

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Solution

The fourth proportional to 297.91, 444.83 and 256.33 is: 382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.91 : 444.83 = 256.33 : x
  2. Step 2: Convert to fraction form
    297.91/444.83 = 256.33/x
  3. Step 3: Cross multiply
    297.91x = 444.83 × 256.33
  4. Step 4: Simplify right side
    297.91x = 114,023.27
  5. Step 5: Solve for x
    x = 114,023.27/297.91
  6. Step 6: Final answer
    x = 382.74

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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.