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Finding the Fourth Proportional to 340.82, 472.91 and 327.11

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Solution

The fourth proportional to 340.82, 472.91 and 327.11 is: 453.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.82 : 472.91 = 327.11 : x
  2. Step 2: Convert to fraction form
    340.82/472.91 = 327.11/x
  3. Step 3: Cross multiply
    340.82x = 472.91 × 327.11
  4. Step 4: Simplify right side
    340.82x = 154,693.59
  5. Step 5: Solve for x
    x = 154,693.59/340.82
  6. Step 6: Final answer
    x = 453.89

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.