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Finding the Fourth Proportional to 267.90, 369.39 and 185.07

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Solution

The fourth proportional to 267.90, 369.39 and 185.07 is: 255.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.90 : 369.39 = 185.07 : x
  2. Step 2: Convert to fraction form
    267.90/369.39 = 185.07/x
  3. Step 3: Cross multiply
    267.90x = 369.39 × 185.07
  4. Step 4: Simplify right side
    267.90x = 68,363.01
  5. Step 5: Solve for x
    x = 68,363.01/267.90
  6. Step 6: Final answer
    x = 255.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.