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Finding the Fourth Proportional to 267.39, 368.78 and 174.09

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Solution

The fourth proportional to 267.39, 368.78 and 174.09 is: 240.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.39 : 368.78 = 174.09 : x
  2. Step 2: Convert to fraction form
    267.39/368.78 = 174.09/x
  3. Step 3: Cross multiply
    267.39x = 368.78 × 174.09
  4. Step 4: Simplify right side
    267.39x = 64,200.04
  5. Step 5: Solve for x
    x = 64,200.04/267.39
  6. Step 6: Final answer
    x = 240.10

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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.