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Finding the Fourth Proportional to 86.46, 128.66 and 83.22

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Solution

The fourth proportional to 86.46, 128.66 and 83.22 is: 123.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.46 : 128.66 = 83.22 : x
  2. Step 2: Convert to fraction form
    86.46/128.66 = 83.22/x
  3. Step 3: Cross multiply
    86.46x = 128.66 × 83.22
  4. Step 4: Simplify right side
    86.46x = 10,707.09
  5. Step 5: Solve for x
    x = 10,707.09/86.46
  6. Step 6: Final answer
    x = 123.84

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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.