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Finding the Fourth Proportional to 89.74, 122.76 and 89.38

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Solution

The fourth proportional to 89.74, 122.76 and 89.38 is: 122.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.74 : 122.76 = 89.38 : x
  2. Step 2: Convert to fraction form
    89.74/122.76 = 89.38/x
  3. Step 3: Cross multiply
    89.74x = 122.76 × 89.38
  4. Step 4: Simplify right side
    89.74x = 10,972.29
  5. Step 5: Solve for x
    x = 10,972.29/89.74
  6. Step 6: Final answer
    x = 122.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.