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Finding the Fourth Proportional to 192.85, 289.09 and 84.71

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Solution

The fourth proportional to 192.85, 289.09 and 84.71 is: 126.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.85 : 289.09 = 84.71 : x
  2. Step 2: Convert to fraction form
    192.85/289.09 = 84.71/x
  3. Step 3: Cross multiply
    192.85x = 289.09 × 84.71
  4. Step 4: Simplify right side
    192.85x = 24,488.81
  5. Step 5: Solve for x
    x = 24,488.81/192.85
  6. Step 6: Final answer
    x = 126.98

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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.