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Finding the Fourth Proportional to 267.02, 368.50 and 168.78

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Solution

The fourth proportional to 267.02, 368.50 and 168.78 is: 232.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.02 : 368.50 = 168.78 : x
  2. Step 2: Convert to fraction form
    267.02/368.50 = 168.78/x
  3. Step 3: Cross multiply
    267.02x = 368.50 × 168.78
  4. Step 4: Simplify right side
    267.02x = 62,195.43
  5. Step 5: Solve for x
    x = 62,195.43/267.02
  6. Step 6: Final answer
    x = 232.92

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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.