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Finding the Fourth Proportional to 353.78, 531.10 and 199.81

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Solution

The fourth proportional to 353.78, 531.10 and 199.81 is: 299.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.78 : 531.10 = 199.81 : x
  2. Step 2: Convert to fraction form
    353.78/531.10 = 199.81/x
  3. Step 3: Cross multiply
    353.78x = 531.10 × 199.81
  4. Step 4: Simplify right side
    353.78x = 106,117.75
  5. Step 5: Solve for x
    x = 106,117.75/353.78
  6. Step 6: Final answer
    x = 299.96

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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.