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Finding the Fourth Proportional to 266.88, 399.96 and 212.76

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Solution

The fourth proportional to 266.88, 399.96 and 212.76 is: 318.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.88 : 399.96 = 212.76 : x
  2. Step 2: Convert to fraction form
    266.88/399.96 = 212.76/x
  3. Step 3: Cross multiply
    266.88x = 399.96 × 212.76
  4. Step 4: Simplify right side
    266.88x = 85,095.49
  5. Step 5: Solve for x
    x = 85,095.49/266.88
  6. Step 6: Final answer
    x = 318.85

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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.