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Finding the Fourth Proportional to 86.08, 128.49 and 77.96

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Solution

The fourth proportional to 86.08, 128.49 and 77.96 is: 116.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.08 : 128.49 = 77.96 : x
  2. Step 2: Convert to fraction form
    86.08/128.49 = 77.96/x
  3. Step 3: Cross multiply
    86.08x = 128.49 × 77.96
  4. Step 4: Simplify right side
    86.08x = 10,017.08
  5. Step 5: Solve for x
    x = 10,017.08/86.08
  6. Step 6: Final answer
    x = 116.37

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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.