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Finding the Fourth Proportional to 339.53, 470.95 and 327.87

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Solution

The fourth proportional to 339.53, 470.95 and 327.87 is: 454.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.53 : 470.95 = 327.87 : x
  2. Step 2: Convert to fraction form
    339.53/470.95 = 327.87/x
  3. Step 3: Cross multiply
    339.53x = 470.95 × 327.87
  4. Step 4: Simplify right side
    339.53x = 154,409.56
  5. Step 5: Solve for x
    x = 154,409.56/339.53
  6. Step 6: Final answer
    x = 454.78

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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.