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Finding the Fourth Proportional to 279.25, 418.57 and 256.77

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Solution

The fourth proportional to 279.25, 418.57 and 256.77 is: 384.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.25 : 418.57 = 256.77 : x
  2. Step 2: Convert to fraction form
    279.25/418.57 = 256.77/x
  3. Step 3: Cross multiply
    279.25x = 418.57 × 256.77
  4. Step 4: Simplify right side
    279.25x = 107,475.58
  5. Step 5: Solve for x
    x = 107,475.58/279.25
  6. Step 6: Final answer
    x = 384.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.