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Finding the Fourth Proportional to 86.29, 118.36 and 86.29

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Solution

The fourth proportional to 86.29, 118.36 and 86.29 is: 118.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.29 : 118.36 = 86.29 : x
  2. Step 2: Convert to fraction form
    86.29/118.36 = 86.29/x
  3. Step 3: Cross multiply
    86.29x = 118.36 × 86.29
  4. Step 4: Simplify right side
    86.29x = 10,212.61
  5. Step 5: Solve for x
    x = 10,212.61/86.29
  6. Step 6: Final answer
    x = 118.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.