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Finding the Fourth Proportional to 311.19, 464.38 and 276.68

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Solution

The fourth proportional to 311.19, 464.38 and 276.68 is: 412.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.19 : 464.38 = 276.68 : x
  2. Step 2: Convert to fraction form
    311.19/464.38 = 276.68/x
  3. Step 3: Cross multiply
    311.19x = 464.38 × 276.68
  4. Step 4: Simplify right side
    311.19x = 128,485.13
  5. Step 5: Solve for x
    x = 128,485.13/311.19
  6. Step 6: Final answer
    x = 412.88

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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.