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Finding the Fourth Proportional to 89.24, 122.90 and 84.29

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Solution

The fourth proportional to 89.24, 122.90 and 84.29 is: 116.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.24 : 122.90 = 84.29 : x
  2. Step 2: Convert to fraction form
    89.24/122.90 = 84.29/x
  3. Step 3: Cross multiply
    89.24x = 122.90 × 84.29
  4. Step 4: Simplify right side
    89.24x = 10,358.21
  5. Step 5: Solve for x
    x = 10,358.21/89.24
  6. Step 6: Final answer
    x = 116.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.