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Finding the Fourth Proportional to 89.69, 133.81 and 82.87

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Solution

The fourth proportional to 89.69, 133.81 and 82.87 is: 123.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.69 : 133.81 = 82.87 : x
  2. Step 2: Convert to fraction form
    89.69/133.81 = 82.87/x
  3. Step 3: Cross multiply
    89.69x = 133.81 × 82.87
  4. Step 4: Simplify right side
    89.69x = 11,088.29
  5. Step 5: Solve for x
    x = 11,088.29/89.69
  6. Step 6: Final answer
    x = 123.64

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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.