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Finding the Fourth Proportional to 196.28, 292.71 and 185.51

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Solution

The fourth proportional to 196.28, 292.71 and 185.51 is: 276.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.28 : 292.71 = 185.51 : x
  2. Step 2: Convert to fraction form
    196.28/292.71 = 185.51/x
  3. Step 3: Cross multiply
    196.28x = 292.71 × 185.51
  4. Step 4: Simplify right side
    196.28x = 54,299.17
  5. Step 5: Solve for x
    x = 54,299.17/196.28
  6. Step 6: Final answer
    x = 276.64

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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.