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Finding the Fourth Proportional to 426.52, 588.72 and 286.80

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Solution

The fourth proportional to 426.52, 588.72 and 286.80 is: 395.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.52 : 588.72 = 286.80 : x
  2. Step 2: Convert to fraction form
    426.52/588.72 = 286.80/x
  3. Step 3: Cross multiply
    426.52x = 588.72 × 286.80
  4. Step 4: Simplify right side
    426.52x = 168,844.90
  5. Step 5: Solve for x
    x = 168,844.90/426.52
  6. Step 6: Final answer
    x = 395.87

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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.