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Finding the Fourth Proportional to 267.03, 368.78 and 212.49

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Solution

The fourth proportional to 267.03, 368.78 and 212.49 is: 293.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.03 : 368.78 = 212.49 : x
  2. Step 2: Convert to fraction form
    267.03/368.78 = 212.49/x
  3. Step 3: Cross multiply
    267.03x = 368.78 × 212.49
  4. Step 4: Simplify right side
    267.03x = 78,361.00
  5. Step 5: Solve for x
    x = 78,361.00/267.03
  6. Step 6: Final answer
    x = 293.45

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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.