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Finding the Fourth Proportional to 108.04, 161 and 100.30

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Solution

The fourth proportional to 108.04, 161 and 100.30 is: 149.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.04 : 161 = 100.30 : x
  2. Step 2: Convert to fraction form
    108.04/161 = 100.30/x
  3. Step 3: Cross multiply
    108.04x = 161 × 100.30
  4. Step 4: Simplify right side
    108.04x = 16,148.30
  5. Step 5: Solve for x
    x = 16,148.30/108.04
  6. Step 6: Final answer
    x = 149.47

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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.