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Finding the Fourth Proportional to 199.49, 299.14 and 71.21

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Solution

The fourth proportional to 199.49, 299.14 and 71.21 is: 106.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.49 : 299.14 = 71.21 : x
  2. Step 2: Convert to fraction form
    199.49/299.14 = 71.21/x
  3. Step 3: Cross multiply
    199.49x = 299.14 × 71.21
  4. Step 4: Simplify right side
    199.49x = 21,301.76
  5. Step 5: Solve for x
    x = 21,301.76/199.49
  6. Step 6: Final answer
    x = 106.78

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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.