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Finding the Fourth Proportional to 311.24, 464.73 and 252.80

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Solution

The fourth proportional to 311.24, 464.73 and 252.80 is: 377.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.24 : 464.73 = 252.80 : x
  2. Step 2: Convert to fraction form
    311.24/464.73 = 252.80/x
  3. Step 3: Cross multiply
    311.24x = 464.73 × 252.80
  4. Step 4: Simplify right side
    311.24x = 117,483.74
  5. Step 5: Solve for x
    x = 117,483.74/311.24
  6. Step 6: Final answer
    x = 377.47

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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.