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Finding the Fourth Proportional to 589.65, 883.85 and 199.29

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Solution

The fourth proportional to 589.65, 883.85 and 199.29 is: 298.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.65 : 883.85 = 199.29 : x
  2. Step 2: Convert to fraction form
    589.65/883.85 = 199.29/x
  3. Step 3: Cross multiply
    589.65x = 883.85 × 199.29
  4. Step 4: Simplify right side
    589.65x = 176,144.78
  5. Step 5: Solve for x
    x = 176,144.78/589.65
  6. Step 6: Final answer
    x = 298.73

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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.