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Finding the Fourth Proportional to 196.07, 270.64 and 121.42

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Solution

The fourth proportional to 196.07, 270.64 and 121.42 is: 167.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.07 : 270.64 = 121.42 : x
  2. Step 2: Convert to fraction form
    196.07/270.64 = 121.42/x
  3. Step 3: Cross multiply
    196.07x = 270.64 × 121.42
  4. Step 4: Simplify right side
    196.07x = 32,860.92
  5. Step 5: Solve for x
    x = 32,860.92/196.07
  6. Step 6: Final answer
    x = 167.60

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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.