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Finding the Fourth Proportional to 267.75, 400.77 and 144.18

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Solution

The fourth proportional to 267.75, 400.77 and 144.18 is: 215.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.75 : 400.77 = 144.18 : x
  2. Step 2: Convert to fraction form
    267.75/400.77 = 144.18/x
  3. Step 3: Cross multiply
    267.75x = 400.77 × 144.18
  4. Step 4: Simplify right side
    267.75x = 57,783.02
  5. Step 5: Solve for x
    x = 57,783.02/267.75
  6. Step 6: Final answer
    x = 215.81

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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.