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Finding the Fourth Proportional to 108.50, 161.64 and 103.84

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Solution

The fourth proportional to 108.50, 161.64 and 103.84 is: 154.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.50 : 161.64 = 103.84 : x
  2. Step 2: Convert to fraction form
    108.50/161.64 = 103.84/x
  3. Step 3: Cross multiply
    108.50x = 161.64 × 103.84
  4. Step 4: Simplify right side
    108.50x = 16,784.29
  5. Step 5: Solve for x
    x = 16,784.29/108.50
  6. Step 6: Final answer
    x = 154.70

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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.