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Finding the Fourth Proportional to 196.34, 294.44 and 74.57

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Solution

The fourth proportional to 196.34, 294.44 and 74.57 is: 111.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.34 : 294.44 = 74.57 : x
  2. Step 2: Convert to fraction form
    196.34/294.44 = 74.57/x
  3. Step 3: Cross multiply
    196.34x = 294.44 × 74.57
  4. Step 4: Simplify right side
    196.34x = 21,956.39
  5. Step 5: Solve for x
    x = 21,956.39/196.34
  6. Step 6: Final answer
    x = 111.83

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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.