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Finding the Fourth Proportional to 267.26, 368.80 and 149.22

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Solution

The fourth proportional to 267.26, 368.80 and 149.22 is: 205.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.26 : 368.80 = 149.22 : x
  2. Step 2: Convert to fraction form
    267.26/368.80 = 149.22/x
  3. Step 3: Cross multiply
    267.26x = 368.80 × 149.22
  4. Step 4: Simplify right side
    267.26x = 55,031.59
  5. Step 5: Solve for x
    x = 55,031.59/267.26
  6. Step 6: Final answer
    x = 205.91

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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.