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Finding the Fourth Proportional to 312.39, 431.01 and 194.31

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Solution

The fourth proportional to 312.39, 431.01 and 194.31 is: 268.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.39 : 431.01 = 194.31 : x
  2. Step 2: Convert to fraction form
    312.39/431.01 = 194.31/x
  3. Step 3: Cross multiply
    312.39x = 431.01 × 194.31
  4. Step 4: Simplify right side
    312.39x = 83,749.55
  5. Step 5: Solve for x
    x = 83,749.55/312.39
  6. Step 6: Final answer
    x = 268.09

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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.