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Finding the Fourth Proportional to 267.64, 369.77 and 208.85

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Solution

The fourth proportional to 267.64, 369.77 and 208.85 is: 288.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.64 : 369.77 = 208.85 : x
  2. Step 2: Convert to fraction form
    267.64/369.77 = 208.85/x
  3. Step 3: Cross multiply
    267.64x = 369.77 × 208.85
  4. Step 4: Simplify right side
    267.64x = 77,223.57
  5. Step 5: Solve for x
    x = 77,223.57/267.64
  6. Step 6: Final answer
    x = 288.54

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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.