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Finding the Fourth Proportional to 294.76, 439.97 and 256.51

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Solution

The fourth proportional to 294.76, 439.97 and 256.51 is: 382.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.76 : 439.97 = 256.51 : x
  2. Step 2: Convert to fraction form
    294.76/439.97 = 256.51/x
  3. Step 3: Cross multiply
    294.76x = 439.97 × 256.51
  4. Step 4: Simplify right side
    294.76x = 112,856.70
  5. Step 5: Solve for x
    x = 112,856.70/294.76
  6. Step 6: Final answer
    x = 382.88

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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.