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Finding the Fourth Proportional to 330.27, 494.59 and 311.64

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Solution

The fourth proportional to 330.27, 494.59 and 311.64 is: 466.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.27 : 494.59 = 311.64 : x
  2. Step 2: Convert to fraction form
    330.27/494.59 = 311.64/x
  3. Step 3: Cross multiply
    330.27x = 494.59 × 311.64
  4. Step 4: Simplify right side
    330.27x = 154,134.03
  5. Step 5: Solve for x
    x = 154,134.03/330.27
  6. Step 6: Final answer
    x = 466.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.