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Finding the Fourth Proportional to 311.99, 468.18 and 212.03

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Solution

The fourth proportional to 311.99, 468.18 and 212.03 is: 318.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.99 : 468.18 = 212.03 : x
  2. Step 2: Convert to fraction form
    311.99/468.18 = 212.03/x
  3. Step 3: Cross multiply
    311.99x = 468.18 × 212.03
  4. Step 4: Simplify right side
    311.99x = 99,268.21
  5. Step 5: Solve for x
    x = 99,268.21/311.99
  6. Step 6: Final answer
    x = 318.18

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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.