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Finding the Fourth Proportional to 267.84, 369.09 and 212.58

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Solution

The fourth proportional to 267.84, 369.09 and 212.58 is: 292.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.84 : 369.09 = 212.58 : x
  2. Step 2: Convert to fraction form
    267.84/369.09 = 212.58/x
  3. Step 3: Cross multiply
    267.84x = 369.09 × 212.58
  4. Step 4: Simplify right side
    267.84x = 78,461.15
  5. Step 5: Solve for x
    x = 78,461.15/267.84
  6. Step 6: Final answer
    x = 292.94

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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.