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Finding the Fourth Proportional to 267.36, 368.64 and 192.72

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Solution

The fourth proportional to 267.36, 368.64 and 192.72 is: 265.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.36 : 368.64 = 192.72 : x
  2. Step 2: Convert to fraction form
    267.36/368.64 = 192.72/x
  3. Step 3: Cross multiply
    267.36x = 368.64 × 192.72
  4. Step 4: Simplify right side
    267.36x = 71,044.30
  5. Step 5: Solve for x
    x = 71,044.30/267.36
  6. Step 6: Final answer
    x = 265.73

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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.