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Finding the Fourth Proportional to 89.71, 135.34 and 84.73

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Solution

The fourth proportional to 89.71, 135.34 and 84.73 is: 127.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.71 : 135.34 = 84.73 : x
  2. Step 2: Convert to fraction form
    89.71/135.34 = 84.73/x
  3. Step 3: Cross multiply
    89.71x = 135.34 × 84.73
  4. Step 4: Simplify right side
    89.71x = 11,467.36
  5. Step 5: Solve for x
    x = 11,467.36/89.71
  6. Step 6: Final answer
    x = 127.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.