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Finding the Fourth Proportional to 267.47, 369.05 and 197.81

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Solution

The fourth proportional to 267.47, 369.05 and 197.81 is: 272.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.47 : 369.05 = 197.81 : x
  2. Step 2: Convert to fraction form
    267.47/369.05 = 197.81/x
  3. Step 3: Cross multiply
    267.47x = 369.05 × 197.81
  4. Step 4: Simplify right side
    267.47x = 72,998.95
  5. Step 5: Solve for x
    x = 72,998.95/267.47
  6. Step 6: Final answer
    x = 272.93

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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.