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Finding the Fourth Proportional to 196.00, 293.85 and 74.23

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Solution

The fourth proportional to 196.00, 293.85 and 74.23 is: 111.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.00 : 293.85 = 74.23 : x
  2. Step 2: Convert to fraction form
    196.00/293.85 = 74.23/x
  3. Step 3: Cross multiply
    196.00x = 293.85 × 74.23
  4. Step 4: Simplify right side
    196.00x = 21,811.75
  5. Step 5: Solve for x
    x = 21,811.75/196.00
  6. Step 6: Final answer
    x = 111.29

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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.