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Finding the Fourth Proportional to 196.20, 292.47 and 187.56

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Solution

The fourth proportional to 196.20, 292.47 and 187.56 is: 279.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.20 : 292.47 = 187.56 : x
  2. Step 2: Convert to fraction form
    196.20/292.47 = 187.56/x
  3. Step 3: Cross multiply
    196.20x = 292.47 × 187.56
  4. Step 4: Simplify right side
    196.20x = 54,855.67
  5. Step 5: Solve for x
    x = 54,855.67/196.20
  6. Step 6: Final answer
    x = 279.59

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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.