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Finding the Fourth Proportional to 84.05, 115.97 and 51.29

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Solution

The fourth proportional to 84.05, 115.97 and 51.29 is: 70.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.05 : 115.97 = 51.29 : x
  2. Step 2: Convert to fraction form
    84.05/115.97 = 51.29/x
  3. Step 3: Cross multiply
    84.05x = 115.97 × 51.29
  4. Step 4: Simplify right side
    84.05x = 5,948.10
  5. Step 5: Solve for x
    x = 5,948.10/84.05
  6. Step 6: Final answer
    x = 70.77

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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.