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Finding the Fourth Proportional to 327.32, 487.26 and 311.60

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Solution

The fourth proportional to 327.32, 487.26 and 311.60 is: 463.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.32 : 487.26 = 311.60 : x
  2. Step 2: Convert to fraction form
    327.32/487.26 = 311.60/x
  3. Step 3: Cross multiply
    327.32x = 487.26 × 311.60
  4. Step 4: Simplify right side
    327.32x = 151,830.22
  5. Step 5: Solve for x
    x = 151,830.22/327.32
  6. Step 6: Final answer
    x = 463.86

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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.