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Finding the Fourth Proportional to 196.87, 271.99 and 183.20

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Solution

The fourth proportional to 196.87, 271.99 and 183.20 is: 253.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.87 : 271.99 = 183.20 : x
  2. Step 2: Convert to fraction form
    196.87/271.99 = 183.20/x
  3. Step 3: Cross multiply
    196.87x = 271.99 × 183.20
  4. Step 4: Simplify right side
    196.87x = 49,828.57
  5. Step 5: Solve for x
    x = 49,828.57/196.87
  6. Step 6: Final answer
    x = 253.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.