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Finding the Fourth Proportional to 108.32, 161.20 and 107.84

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Solution

The fourth proportional to 108.32, 161.20 and 107.84 is: 160.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.32 : 161.20 = 107.84 : x
  2. Step 2: Convert to fraction form
    108.32/161.20 = 107.84/x
  3. Step 3: Cross multiply
    108.32x = 161.20 × 107.84
  4. Step 4: Simplify right side
    108.32x = 17,383.81
  5. Step 5: Solve for x
    x = 17,383.81/108.32
  6. Step 6: Final answer
    x = 160.49

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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.