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Finding the Fourth Proportional to 195.56, 292.22 and 149.03

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Solution

The fourth proportional to 195.56, 292.22 and 149.03 is: 222.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.56 : 292.22 = 149.03 : x
  2. Step 2: Convert to fraction form
    195.56/292.22 = 149.03/x
  3. Step 3: Cross multiply
    195.56x = 292.22 × 149.03
  4. Step 4: Simplify right side
    195.56x = 43,549.55
  5. Step 5: Solve for x
    x = 43,549.55/195.56
  6. Step 6: Final answer
    x = 222.69

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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.