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Finding the Fourth Proportional to 338.76, 505.71 and 327.33

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Solution

The fourth proportional to 338.76, 505.71 and 327.33 is: 488.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.76 : 505.71 = 327.33 : x
  2. Step 2: Convert to fraction form
    338.76/505.71 = 327.33/x
  3. Step 3: Cross multiply
    338.76x = 505.71 × 327.33
  4. Step 4: Simplify right side
    338.76x = 165,534.05
  5. Step 5: Solve for x
    x = 165,534.05/338.76
  6. Step 6: Final answer
    x = 488.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.