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Finding the Fourth Proportional to 196.16, 292.78 and 171.92

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Solution

The fourth proportional to 196.16, 292.78 and 171.92 is: 256.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.16 : 292.78 = 171.92 : x
  2. Step 2: Convert to fraction form
    196.16/292.78 = 171.92/x
  3. Step 3: Cross multiply
    196.16x = 292.78 × 171.92
  4. Step 4: Simplify right side
    196.16x = 50,334.74
  5. Step 5: Solve for x
    x = 50,334.74/196.16
  6. Step 6: Final answer
    x = 256.60

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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.