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Finding the Fourth Proportional to 426.54, 588.92 and 279.44

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Solution

The fourth proportional to 426.54, 588.92 and 279.44 is: 385.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.54 : 588.92 = 279.44 : x
  2. Step 2: Convert to fraction form
    426.54/588.92 = 279.44/x
  3. Step 3: Cross multiply
    426.54x = 588.92 × 279.44
  4. Step 4: Simplify right side
    426.54x = 164,567.80
  5. Step 5: Solve for x
    x = 164,567.80/426.54
  6. Step 6: Final answer
    x = 385.82

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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.