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Finding the Fourth Proportional to 107.33, 161.57 and 97.91

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Solution

The fourth proportional to 107.33, 161.57 and 97.91 is: 147.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.33 : 161.57 = 97.91 : x
  2. Step 2: Convert to fraction form
    107.33/161.57 = 97.91/x
  3. Step 3: Cross multiply
    107.33x = 161.57 × 97.91
  4. Step 4: Simplify right side
    107.33x = 15,819.32
  5. Step 5: Solve for x
    x = 15,819.32/107.33
  6. Step 6: Final answer
    x = 147.39

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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.