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Finding the Fourth Proportional to 589.18, 883.68 and 199.22

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Solution

The fourth proportional to 589.18, 883.68 and 199.22 is: 298.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.18 : 883.68 = 199.22 : x
  2. Step 2: Convert to fraction form
    589.18/883.68 = 199.22/x
  3. Step 3: Cross multiply
    589.18x = 883.68 × 199.22
  4. Step 4: Simplify right side
    589.18x = 176,046.73
  5. Step 5: Solve for x
    x = 176,046.73/589.18
  6. Step 6: Final answer
    x = 298.80

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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.