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Finding the Fourth Proportional to 312.12, 466.11 and 308.73

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Solution

The fourth proportional to 312.12, 466.11 and 308.73 is: 461.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.12 : 466.11 = 308.73 : x
  2. Step 2: Convert to fraction form
    312.12/466.11 = 308.73/x
  3. Step 3: Cross multiply
    312.12x = 466.11 × 308.73
  4. Step 4: Simplify right side
    312.12x = 143,902.14
  5. Step 5: Solve for x
    x = 143,902.14/312.12
  6. Step 6: Final answer
    x = 461.05

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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.