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Finding the Fourth Proportional to 107.73, 162.27 and 97.74

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Solution

The fourth proportional to 107.73, 162.27 and 97.74 is: 147.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.73 : 162.27 = 97.74 : x
  2. Step 2: Convert to fraction form
    107.73/162.27 = 97.74/x
  3. Step 3: Cross multiply
    107.73x = 162.27 × 97.74
  4. Step 4: Simplify right side
    107.73x = 15,860.27
  5. Step 5: Solve for x
    x = 15,860.27/107.73
  6. Step 6: Final answer
    x = 147.22

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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.