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Finding the Fourth Proportional to 149.25, 222.41 and 144.35

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Solution

The fourth proportional to 149.25, 222.41 and 144.35 is: 215.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.25 : 222.41 = 144.35 : x
  2. Step 2: Convert to fraction form
    149.25/222.41 = 144.35/x
  3. Step 3: Cross multiply
    149.25x = 222.41 × 144.35
  4. Step 4: Simplify right side
    149.25x = 32,105.41
  5. Step 5: Solve for x
    x = 32,105.41/149.25
  6. Step 6: Final answer
    x = 215.11

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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.