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Finding the Fourth Proportional to 426.84, 588.29 and 360.33

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Solution

The fourth proportional to 426.84, 588.29 and 360.33 is: 496.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.84 : 588.29 = 360.33 : x
  2. Step 2: Convert to fraction form
    426.84/588.29 = 360.33/x
  3. Step 3: Cross multiply
    426.84x = 588.29 × 360.33
  4. Step 4: Simplify right side
    426.84x = 211,976.73
  5. Step 5: Solve for x
    x = 211,976.73/426.84
  6. Step 6: Final answer
    x = 496.62

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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.