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Finding the Fourth Proportional to 426.86, 588.71 and 286.88

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Solution

The fourth proportional to 426.86, 588.71 and 286.88 is: 395.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.86 : 588.71 = 286.88 : x
  2. Step 2: Convert to fraction form
    426.86/588.71 = 286.88/x
  3. Step 3: Cross multiply
    426.86x = 588.71 × 286.88
  4. Step 4: Simplify right side
    426.86x = 168,884.75
  5. Step 5: Solve for x
    x = 168,884.75/426.86
  6. Step 6: Final answer
    x = 395.65

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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.