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Finding the Fourth Proportional to 488.71, 674.35 and 278.88

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Solution

The fourth proportional to 488.71, 674.35 and 278.88 is: 384.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.71 : 674.35 = 278.88 : x
  2. Step 2: Convert to fraction form
    488.71/674.35 = 278.88/x
  3. Step 3: Cross multiply
    488.71x = 674.35 × 278.88
  4. Step 4: Simplify right side
    488.71x = 188,062.73
  5. Step 5: Solve for x
    x = 188,062.73/488.71
  6. Step 6: Final answer
    x = 384.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.