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Finding the Fourth Proportional to 426.54, 588.18 and 286.65

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Solution

The fourth proportional to 426.54, 588.18 and 286.65 is: 395.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.54 : 588.18 = 286.65 : x
  2. Step 2: Convert to fraction form
    426.54/588.18 = 286.65/x
  3. Step 3: Cross multiply
    426.54x = 588.18 × 286.65
  4. Step 4: Simplify right side
    426.54x = 168,601.80
  5. Step 5: Solve for x
    x = 168,601.80/426.54
  6. Step 6: Final answer
    x = 395.28

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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.