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Finding the Fourth Proportional to 312.75, 431.45 and 194.76

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Solution

The fourth proportional to 312.75, 431.45 and 194.76 is: 268.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.75 : 431.45 = 194.76 : x
  2. Step 2: Convert to fraction form
    312.75/431.45 = 194.76/x
  3. Step 3: Cross multiply
    312.75x = 431.45 × 194.76
  4. Step 4: Simplify right side
    312.75x = 84,028.23
  5. Step 5: Solve for x
    x = 84,028.23/312.75
  6. Step 6: Final answer
    x = 268.68

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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.