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Finding the Fourth Proportional to 100.21, 149.77 and 79.95

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Solution

The fourth proportional to 100.21, 149.77 and 79.95 is: 119.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.21 : 149.77 = 79.95 : x
  2. Step 2: Convert to fraction form
    100.21/149.77 = 79.95/x
  3. Step 3: Cross multiply
    100.21x = 149.77 × 79.95
  4. Step 4: Simplify right side
    100.21x = 11,974.11
  5. Step 5: Solve for x
    x = 11,974.11/100.21
  6. Step 6: Final answer
    x = 119.49

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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.