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Finding the Fourth Proportional to 196.52, 294.90 and 131.62

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Solution

The fourth proportional to 196.52, 294.90 and 131.62 is: 197.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.52 : 294.90 = 131.62 : x
  2. Step 2: Convert to fraction form
    196.52/294.90 = 131.62/x
  3. Step 3: Cross multiply
    196.52x = 294.90 × 131.62
  4. Step 4: Simplify right side
    196.52x = 38,813.26
  5. Step 5: Solve for x
    x = 38,813.26/196.52
  6. Step 6: Final answer
    x = 197.50

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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.