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Finding the Fourth Proportional to 267.48, 368.78 and 197.52

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Solution

The fourth proportional to 267.48, 368.78 and 197.52 is: 272.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.48 : 368.78 = 197.52 : x
  2. Step 2: Convert to fraction form
    267.48/368.78 = 197.52/x
  3. Step 3: Cross multiply
    267.48x = 368.78 × 197.52
  4. Step 4: Simplify right side
    267.48x = 72,841.43
  5. Step 5: Solve for x
    x = 72,841.43/267.48
  6. Step 6: Final answer
    x = 272.32

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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.