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Finding the Fourth Proportional to 588.33, 881.88 and 217.90

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Solution

The fourth proportional to 588.33, 881.88 and 217.90 is: 326.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.33 : 881.88 = 217.90 : x
  2. Step 2: Convert to fraction form
    588.33/881.88 = 217.90/x
  3. Step 3: Cross multiply
    588.33x = 881.88 × 217.90
  4. Step 4: Simplify right side
    588.33x = 192,161.65
  5. Step 5: Solve for x
    x = 192,161.65/588.33
  6. Step 6: Final answer
    x = 326.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.