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Finding the Fourth Proportional to 110.67, 165.21 and 100.41

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Solution

The fourth proportional to 110.67, 165.21 and 100.41 is: 149.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.67 : 165.21 = 100.41 : x
  2. Step 2: Convert to fraction form
    110.67/165.21 = 100.41/x
  3. Step 3: Cross multiply
    110.67x = 165.21 × 100.41
  4. Step 4: Simplify right side
    110.67x = 16,588.74
  5. Step 5: Solve for x
    x = 16,588.74/110.67
  6. Step 6: Final answer
    x = 149.89

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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.