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Finding the Fourth Proportional to 149.55, 225.27 and 140.44

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Solution

The fourth proportional to 149.55, 225.27 and 140.44 is: 211.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.55 : 225.27 = 140.44 : x
  2. Step 2: Convert to fraction form
    149.55/225.27 = 140.44/x
  3. Step 3: Cross multiply
    149.55x = 225.27 × 140.44
  4. Step 4: Simplify right side
    149.55x = 31,636.92
  5. Step 5: Solve for x
    x = 31,636.92/149.55
  6. Step 6: Final answer
    x = 211.55

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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.