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Finding the Fourth Proportional to 89.70, 122.52 and 88.92

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Solution

The fourth proportional to 89.70, 122.52 and 88.92 is: 121.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.70 : 122.52 = 88.92 : x
  2. Step 2: Convert to fraction form
    89.70/122.52 = 88.92/x
  3. Step 3: Cross multiply
    89.70x = 122.52 × 88.92
  4. Step 4: Simplify right side
    89.70x = 10,894.48
  5. Step 5: Solve for x
    x = 10,894.48/89.70
  6. Step 6: Final answer
    x = 121.45

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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.