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Finding the Fourth Proportional to 89.15, 132.83 and 85.21

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Solution

The fourth proportional to 89.15, 132.83 and 85.21 is: 126.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.15 : 132.83 = 85.21 : x
  2. Step 2: Convert to fraction form
    89.15/132.83 = 85.21/x
  3. Step 3: Cross multiply
    89.15x = 132.83 × 85.21
  4. Step 4: Simplify right side
    89.15x = 11,318.51
  5. Step 5: Solve for x
    x = 11,318.51/89.15
  6. Step 6: Final answer
    x = 126.97

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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.