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Finding the Fourth Proportional to 196.07, 270.46 and 121.41

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Solution

The fourth proportional to 196.07, 270.46 and 121.41 is: 167.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.07 : 270.46 = 121.41 : x
  2. Step 2: Convert to fraction form
    196.07/270.46 = 121.41/x
  3. Step 3: Cross multiply
    196.07x = 270.46 × 121.41
  4. Step 4: Simplify right side
    196.07x = 32,835.23
  5. Step 5: Solve for x
    x = 32,835.23/196.07
  6. Step 6: Final answer
    x = 167.47

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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.