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Finding the Fourth Proportional to 588.20, 881.80 and 222.88

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Solution

The fourth proportional to 588.20, 881.80 and 222.88 is: 334.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.20 : 881.80 = 222.88 : x
  2. Step 2: Convert to fraction form
    588.20/881.80 = 222.88/x
  3. Step 3: Cross multiply
    588.20x = 881.80 × 222.88
  4. Step 4: Simplify right side
    588.20x = 196,535.58
  5. Step 5: Solve for x
    x = 196,535.58/588.20
  6. Step 6: Final answer
    x = 334.13

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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.