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Finding the Fourth Proportional to 149.24, 222.37 and 133.07

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Solution

The fourth proportional to 149.24, 222.37 and 133.07 is: 198.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.24 : 222.37 = 133.07 : x
  2. Step 2: Convert to fraction form
    149.24/222.37 = 133.07/x
  3. Step 3: Cross multiply
    149.24x = 222.37 × 133.07
  4. Step 4: Simplify right side
    149.24x = 29,590.11
  5. Step 5: Solve for x
    x = 29,590.11/149.24
  6. Step 6: Final answer
    x = 198.27

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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.