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Finding the Fourth Proportional to 109.49, 164.12 and 40.05

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Solution

The fourth proportional to 109.49, 164.12 and 40.05 is: 60.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.49 : 164.12 = 40.05 : x
  2. Step 2: Convert to fraction form
    109.49/164.12 = 40.05/x
  3. Step 3: Cross multiply
    109.49x = 164.12 × 40.05
  4. Step 4: Simplify right side
    109.49x = 6,573.11
  5. Step 5: Solve for x
    x = 6,573.11/109.49
  6. Step 6: Final answer
    x = 60.04

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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.