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Finding the Fourth Proportional to 297.77, 444.49 and 256.73

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Solution

The fourth proportional to 297.77, 444.49 and 256.73 is: 383.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.77 : 444.49 = 256.73 : x
  2. Step 2: Convert to fraction form
    297.77/444.49 = 256.73/x
  3. Step 3: Cross multiply
    297.77x = 444.49 × 256.73
  4. Step 4: Simplify right side
    297.77x = 114,113.92
  5. Step 5: Solve for x
    x = 114,113.92/297.77
  6. Step 6: Final answer
    x = 383.23

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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.