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Finding the Fourth Proportional to 414.46, 620.86 and 311.86

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Solution

The fourth proportional to 414.46, 620.86 and 311.86 is: 467.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.46 : 620.86 = 311.86 : x
  2. Step 2: Convert to fraction form
    414.46/620.86 = 311.86/x
  3. Step 3: Cross multiply
    414.46x = 620.86 × 311.86
  4. Step 4: Simplify right side
    414.46x = 193,621.40
  5. Step 5: Solve for x
    x = 193,621.40/414.46
  6. Step 6: Final answer
    x = 467.17

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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.