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Finding the Fourth Proportional to 108.26, 162.14 and 99.83

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Solution

The fourth proportional to 108.26, 162.14 and 99.83 is: 149.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.26 : 162.14 = 99.83 : x
  2. Step 2: Convert to fraction form
    108.26/162.14 = 99.83/x
  3. Step 3: Cross multiply
    108.26x = 162.14 × 99.83
  4. Step 4: Simplify right side
    108.26x = 16,185.13
  5. Step 5: Solve for x
    x = 16,185.13/108.26
  6. Step 6: Final answer
    x = 149.51

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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.