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Finding the Fourth Proportional to 199.71, 299.52 and 77.91

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Solution

The fourth proportional to 199.71, 299.52 and 77.91 is: 116.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.71 : 299.52 = 77.91 : x
  2. Step 2: Convert to fraction form
    199.71/299.52 = 77.91/x
  3. Step 3: Cross multiply
    199.71x = 299.52 × 77.91
  4. Step 4: Simplify right side
    199.71x = 23,335.60
  5. Step 5: Solve for x
    x = 23,335.60/199.71
  6. Step 6: Final answer
    x = 116.85

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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.