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Finding the Fourth Proportional to 267.23, 368.39 and 193.43

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Solution

The fourth proportional to 267.23, 368.39 and 193.43 is: 266.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.23 : 368.39 = 193.43 : x
  2. Step 2: Convert to fraction form
    267.23/368.39 = 193.43/x
  3. Step 3: Cross multiply
    267.23x = 368.39 × 193.43
  4. Step 4: Simplify right side
    267.23x = 71,254.87
  5. Step 5: Solve for x
    x = 71,254.87/267.23
  6. Step 6: Final answer
    x = 266.65

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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.