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Finding the Fourth Proportional to 312.79, 431.75 and 196.45

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Solution

The fourth proportional to 312.79, 431.75 and 196.45 is: 271.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.79 : 431.75 = 196.45 : x
  2. Step 2: Convert to fraction form
    312.79/431.75 = 196.45/x
  3. Step 3: Cross multiply
    312.79x = 431.75 × 196.45
  4. Step 4: Simplify right side
    312.79x = 84,817.29
  5. Step 5: Solve for x
    x = 84,817.29/312.79
  6. Step 6: Final answer
    x = 271.16

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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.