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Finding the Fourth Proportional to 149.82, 225.93 and 147.09

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Solution

The fourth proportional to 149.82, 225.93 and 147.09 is: 221.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.82 : 225.93 = 147.09 : x
  2. Step 2: Convert to fraction form
    149.82/225.93 = 147.09/x
  3. Step 3: Cross multiply
    149.82x = 225.93 × 147.09
  4. Step 4: Simplify right side
    149.82x = 33,232.04
  5. Step 5: Solve for x
    x = 33,232.04/149.82
  6. Step 6: Final answer
    x = 221.81

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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.