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Finding the Fourth Proportional to 426.17, 587.89 and 286.13

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Solution

The fourth proportional to 426.17, 587.89 and 286.13 is: 394.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.17 : 587.89 = 286.13 : x
  2. Step 2: Convert to fraction form
    426.17/587.89 = 286.13/x
  3. Step 3: Cross multiply
    426.17x = 587.89 × 286.13
  4. Step 4: Simplify right side
    426.17x = 168,212.97
  5. Step 5: Solve for x
    x = 168,212.97/426.17
  6. Step 6: Final answer
    x = 394.71

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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.