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Finding the Fourth Proportional to 196.07, 270.38 and 168.53

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Solution

The fourth proportional to 196.07, 270.38 and 168.53 is: 232.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.07 : 270.38 = 168.53 : x
  2. Step 2: Convert to fraction form
    196.07/270.38 = 168.53/x
  3. Step 3: Cross multiply
    196.07x = 270.38 × 168.53
  4. Step 4: Simplify right side
    196.07x = 45,566.30
  5. Step 5: Solve for x
    x = 45,566.30/196.07
  6. Step 6: Final answer
    x = 232.40

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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.