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Finding the Fourth Proportional to 69.73, 96.25 and 58.21

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Solution

The fourth proportional to 69.73, 96.25 and 58.21 is: 80.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.73 : 96.25 = 58.21 : x
  2. Step 2: Convert to fraction form
    69.73/96.25 = 58.21/x
  3. Step 3: Cross multiply
    69.73x = 96.25 × 58.21
  4. Step 4: Simplify right side
    69.73x = 5,602.38
  5. Step 5: Solve for x
    x = 5,602.38/69.73
  6. Step 6: Final answer
    x = 80.34

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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.