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Finding the Fourth Proportional to 267.75, 399.99 and 213.70

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Solution

The fourth proportional to 267.75, 399.99 and 213.70 is: 319.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.75 : 399.99 = 213.70 : x
  2. Step 2: Convert to fraction form
    267.75/399.99 = 213.70/x
  3. Step 3: Cross multiply
    267.75x = 399.99 × 213.70
  4. Step 4: Simplify right side
    267.75x = 85,477.86
  5. Step 5: Solve for x
    x = 85,477.86/267.75
  6. Step 6: Final answer
    x = 319.25

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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.