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Finding the Fourth Proportional to 108.36, 161.30 and 106.74

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Solution

The fourth proportional to 108.36, 161.30 and 106.74 is: 158.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.36 : 161.30 = 106.74 : x
  2. Step 2: Convert to fraction form
    108.36/161.30 = 106.74/x
  3. Step 3: Cross multiply
    108.36x = 161.30 × 106.74
  4. Step 4: Simplify right side
    108.36x = 17,217.43
  5. Step 5: Solve for x
    x = 17,217.43/108.36
  6. Step 6: Final answer
    x = 158.89

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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.