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Finding the Fourth Proportional to 340.82, 472.90 and 327.12

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Solution

The fourth proportional to 340.82, 472.90 and 327.12 is: 453.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.82 : 472.90 = 327.12 : x
  2. Step 2: Convert to fraction form
    340.82/472.90 = 327.12/x
  3. Step 3: Cross multiply
    340.82x = 472.90 × 327.12
  4. Step 4: Simplify right side
    340.82x = 154,695.05
  5. Step 5: Solve for x
    x = 154,695.05/340.82
  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.