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Finding the Fourth Proportional to 92.19, 137.20 and 89.19

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Solution

The fourth proportional to 92.19, 137.20 and 89.19 is: 132.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.19 : 137.20 = 89.19 : x
  2. Step 2: Convert to fraction form
    92.19/137.20 = 89.19/x
  3. Step 3: Cross multiply
    92.19x = 137.20 × 89.19
  4. Step 4: Simplify right side
    92.19x = 12,236.65
  5. Step 5: Solve for x
    x = 12,236.65/92.19
  6. Step 6: Final answer
    x = 132.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.