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Finding the Fourth Proportional to 109.40, 164.77 and 100.03

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Solution

The fourth proportional to 109.40, 164.77 and 100.03 is: 150.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.40 : 164.77 = 100.03 : x
  2. Step 2: Convert to fraction form
    109.40/164.77 = 100.03/x
  3. Step 3: Cross multiply
    109.40x = 164.77 × 100.03
  4. Step 4: Simplify right side
    109.40x = 16,481.94
  5. Step 5: Solve for x
    x = 16,481.94/109.40
  6. Step 6: Final answer
    x = 150.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.