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Finding the Fourth Proportional to 312.71, 431.49 and 194.68

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Solution

The fourth proportional to 312.71, 431.49 and 194.68 is: 268.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.71 : 431.49 = 194.68 : x
  2. Step 2: Convert to fraction form
    312.71/431.49 = 194.68/x
  3. Step 3: Cross multiply
    312.71x = 431.49 × 194.68
  4. Step 4: Simplify right side
    312.71x = 84,003.74
  5. Step 5: Solve for x
    x = 84,003.74/312.71
  6. Step 6: Final answer
    x = 268.64

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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.