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Finding the Fourth Proportional to 267.06, 402.06 and 186.48

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Solution

The fourth proportional to 267.06, 402.06 and 186.48 is: 280.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.06 : 402.06 = 186.48 : x
  2. Step 2: Convert to fraction form
    267.06/402.06 = 186.48/x
  3. Step 3: Cross multiply
    267.06x = 402.06 × 186.48
  4. Step 4: Simplify right side
    267.06x = 74,976.15
  5. Step 5: Solve for x
    x = 74,976.15/267.06
  6. Step 6: Final answer
    x = 280.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.