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Finding the Fourth Proportional to 267.84, 369.60 and 209.76

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Solution

The fourth proportional to 267.84, 369.60 and 209.76 is: 289.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.84 : 369.60 = 209.76 : x
  2. Step 2: Convert to fraction form
    267.84/369.60 = 209.76/x
  3. Step 3: Cross multiply
    267.84x = 369.60 × 209.76
  4. Step 4: Simplify right side
    267.84x = 77,527.30
  5. Step 5: Solve for x
    x = 77,527.30/267.84
  6. Step 6: Final answer
    x = 289.45

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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.