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Finding the Fourth Proportional to 149.80, 222.91 and 149.29

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Solution

The fourth proportional to 149.80, 222.91 and 149.29 is: 222.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.80 : 222.91 = 149.29 : x
  2. Step 2: Convert to fraction form
    149.80/222.91 = 149.29/x
  3. Step 3: Cross multiply
    149.80x = 222.91 × 149.29
  4. Step 4: Simplify right side
    149.80x = 33,277.49
  5. Step 5: Solve for x
    x = 33,277.49/149.80
  6. Step 6: Final answer
    x = 222.14

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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.