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Finding the Fourth Proportional to 267.12, 368.19 and 193.32

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Solution

The fourth proportional to 267.12, 368.19 and 193.32 is: 266.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.12 : 368.19 = 193.32 : x
  2. Step 2: Convert to fraction form
    267.12/368.19 = 193.32/x
  3. Step 3: Cross multiply
    267.12x = 368.19 × 193.32
  4. Step 4: Simplify right side
    267.12x = 71,178.49
  5. Step 5: Solve for x
    x = 71,178.49/267.12
  6. Step 6: Final answer
    x = 266.47

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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.