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Finding the Fourth Proportional to 69.29, 104.33 and 57.22

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Solution

The fourth proportional to 69.29, 104.33 and 57.22 is: 86.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.29 : 104.33 = 57.22 : x
  2. Step 2: Convert to fraction form
    69.29/104.33 = 57.22/x
  3. Step 3: Cross multiply
    69.29x = 104.33 × 57.22
  4. Step 4: Simplify right side
    69.29x = 5,969.64
  5. Step 5: Solve for x
    x = 5,969.64/69.29
  6. Step 6: Final answer
    x = 86.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.