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Finding the Fourth Proportional to 270.38, 373.07 and 196.57

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Solution

The fourth proportional to 270.38, 373.07 and 196.57 is: 271.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.38 : 373.07 = 196.57 : x
  2. Step 2: Convert to fraction form
    270.38/373.07 = 196.57/x
  3. Step 3: Cross multiply
    270.38x = 373.07 × 196.57
  4. Step 4: Simplify right side
    270.38x = 73,334.37
  5. Step 5: Solve for x
    x = 73,334.37/270.38
  6. Step 6: Final answer
    x = 271.23

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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.