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Finding the Fourth Proportional to 267.48, 368.94 and 163.80

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Solution

The fourth proportional to 267.48, 368.94 and 163.80 is: 225.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.48 : 368.94 = 163.80 : x
  2. Step 2: Convert to fraction form
    267.48/368.94 = 163.80/x
  3. Step 3: Cross multiply
    267.48x = 368.94 × 163.80
  4. Step 4: Simplify right side
    267.48x = 60,432.37
  5. Step 5: Solve for x
    x = 60,432.37/267.48
  6. Step 6: Final answer
    x = 225.93

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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.