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Finding the Fourth Proportional to 311.63, 467.74 and 237.81

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Solution

The fourth proportional to 311.63, 467.74 and 237.81 is: 356.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.63 : 467.74 = 237.81 : x
  2. Step 2: Convert to fraction form
    311.63/467.74 = 237.81/x
  3. Step 3: Cross multiply
    311.63x = 467.74 × 237.81
  4. Step 4: Simplify right side
    311.63x = 111,233.25
  5. Step 5: Solve for x
    x = 111,233.25/311.63
  6. Step 6: Final answer
    x = 356.95

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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.