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Finding the Fourth Proportional to 267.87, 400.86 and 185.22

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Solution

The fourth proportional to 267.87, 400.86 and 185.22 is: 277.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.87 : 400.86 = 185.22 : x
  2. Step 2: Convert to fraction form
    267.87/400.86 = 185.22/x
  3. Step 3: Cross multiply
    267.87x = 400.86 × 185.22
  4. Step 4: Simplify right side
    267.87x = 74,244.36
  5. Step 5: Solve for x
    x = 74,244.36/267.87
  6. Step 6: Final answer
    x = 277.17

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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.