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Finding the Fourth Proportional to 196.80, 293.04 and 187.44

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Solution

The fourth proportional to 196.80, 293.04 and 187.44 is: 279.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.80 : 293.04 = 187.44 : x
  2. Step 2: Convert to fraction form
    196.80/293.04 = 187.44/x
  3. Step 3: Cross multiply
    196.80x = 293.04 × 187.44
  4. Step 4: Simplify right side
    196.80x = 54,927.42
  5. Step 5: Solve for x
    x = 54,927.42/196.80
  6. Step 6: Final answer
    x = 279.10

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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.