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Finding the Fourth Proportional to 312.84, 431.64 and 196.56

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Solution

The fourth proportional to 312.84, 431.64 and 196.56 is: 271.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.84 : 431.64 = 196.56 : x
  2. Step 2: Convert to fraction form
    312.84/431.64 = 196.56/x
  3. Step 3: Cross multiply
    312.84x = 431.64 × 196.56
  4. Step 4: Simplify right side
    312.84x = 84,843.16
  5. Step 5: Solve for x
    x = 84,843.16/312.84
  6. Step 6: Final answer
    x = 271.20

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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.