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Finding the Fourth Proportional to 267.35, 369.07 and 208.50

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Solution

The fourth proportional to 267.35, 369.07 and 208.50 is: 287.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.35 : 369.07 = 208.50 : x
  2. Step 2: Convert to fraction form
    267.35/369.07 = 208.50/x
  3. Step 3: Cross multiply
    267.35x = 369.07 × 208.50
  4. Step 4: Simplify right side
    267.35x = 76,950.57
  5. Step 5: Solve for x
    x = 76,950.57/267.35
  6. Step 6: Final answer
    x = 287.82

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