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Finding the Fourth Proportional to 313.13, 431.92 and 196.76

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Solution

The fourth proportional to 313.13, 431.92 and 196.76 is: 271.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.13 : 431.92 = 196.76 : x
  2. Step 2: Convert to fraction form
    313.13/431.92 = 196.76/x
  3. Step 3: Cross multiply
    313.13x = 431.92 × 196.76
  4. Step 4: Simplify right side
    313.13x = 84,984.58
  5. Step 5: Solve for x
    x = 84,984.58/313.13
  6. Step 6: Final answer
    x = 271.40

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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.