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Finding the Fourth Proportional to 267.57, 400.86 and 186.12

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Solution

The fourth proportional to 267.57, 400.86 and 186.12 is: 278.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.57 : 400.86 = 186.12 : x
  2. Step 2: Convert to fraction form
    267.57/400.86 = 186.12/x
  3. Step 3: Cross multiply
    267.57x = 400.86 × 186.12
  4. Step 4: Simplify right side
    267.57x = 74,608.06
  5. Step 5: Solve for x
    x = 74,608.06/267.57
  6. Step 6: Final answer
    x = 278.84

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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.