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Finding the Fourth Proportional to 196.52, 294.93 and 148.73

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Solution

The fourth proportional to 196.52, 294.93 and 148.73 is: 223.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.52 : 294.93 = 148.73 : x
  2. Step 2: Convert to fraction form
    196.52/294.93 = 148.73/x
  3. Step 3: Cross multiply
    196.52x = 294.93 × 148.73
  4. Step 4: Simplify right side
    196.52x = 43,863.46
  5. Step 5: Solve for x
    x = 43,863.46/196.52
  6. Step 6: Final answer
    x = 223.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.