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Finding the Fourth Proportional to 313.41, 432.51 and 196.97

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Solution

The fourth proportional to 313.41, 432.51 and 196.97 is: 271.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.41 : 432.51 = 196.97 : x
  2. Step 2: Convert to fraction form
    313.41/432.51 = 196.97/x
  3. Step 3: Cross multiply
    313.41x = 432.51 × 196.97
  4. Step 4: Simplify right side
    313.41x = 85,190.22
  5. Step 5: Solve for x
    x = 85,190.22/313.41
  6. Step 6: Final answer
    x = 271.82

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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.