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Finding the Fourth Proportional to 426.45, 588.66 and 279.12

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Solution

The fourth proportional to 426.45, 588.66 and 279.12 is: 385.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.45 : 588.66 = 279.12 : x
  2. Step 2: Convert to fraction form
    426.45/588.66 = 279.12/x
  3. Step 3: Cross multiply
    426.45x = 588.66 × 279.12
  4. Step 4: Simplify right side
    426.45x = 164,306.78
  5. Step 5: Solve for x
    x = 164,306.78/426.45
  6. Step 6: Final answer
    x = 385.29

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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.