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Finding the Fourth Proportional to 108.19, 161.99 and 101.17

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Solution

The fourth proportional to 108.19, 161.99 and 101.17 is: 151.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.19 : 161.99 = 101.17 : x
  2. Step 2: Convert to fraction form
    108.19/161.99 = 101.17/x
  3. Step 3: Cross multiply
    108.19x = 161.99 × 101.17
  4. Step 4: Simplify right side
    108.19x = 16,388.53
  5. Step 5: Solve for x
    x = 16,388.53/108.19
  6. Step 6: Final answer
    x = 151.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.