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Finding the Fourth Proportional to 488.29, 731.78 and 199.57

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Solution

The fourth proportional to 488.29, 731.78 and 199.57 is: 299.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.29 : 731.78 = 199.57 : x
  2. Step 2: Convert to fraction form
    488.29/731.78 = 199.57/x
  3. Step 3: Cross multiply
    488.29x = 731.78 × 199.57
  4. Step 4: Simplify right side
    488.29x = 146,040.34
  5. Step 5: Solve for x
    x = 146,040.34/488.29
  6. Step 6: Final answer
    x = 299.09

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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.