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Finding the Fourth Proportional to 86.16, 118.80 and 84.36

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Solution

The fourth proportional to 86.16, 118.80 and 84.36 is: 116.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.16 : 118.80 = 84.36 : x
  2. Step 2: Convert to fraction form
    86.16/118.80 = 84.36/x
  3. Step 3: Cross multiply
    86.16x = 118.80 × 84.36
  4. Step 4: Simplify right side
    86.16x = 10,021.97
  5. Step 5: Solve for x
    x = 10,021.97/86.16
  6. Step 6: Final answer
    x = 116.32

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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.