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Finding the Fourth Proportional to 199.68, 299.56 and 76.29

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Solution

The fourth proportional to 199.68, 299.56 and 76.29 is: 114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.68 : 299.56 = 76.29 : x
  2. Step 2: Convert to fraction form
    199.68/299.56 = 76.29/x
  3. Step 3: Cross multiply
    199.68x = 299.56 × 76.29
  4. Step 4: Simplify right side
    199.68x = 22,854.27
  5. Step 5: Solve for x
    x = 22,854.27/199.68
  6. Step 6: Final answer
    x = 114.45

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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.