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Finding the Fourth Proportional to 267.10, 368.60 and 149.08

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Solution

The fourth proportional to 267.10, 368.60 and 149.08 is: 205.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.10 : 368.60 = 149.08 : x
  2. Step 2: Convert to fraction form
    267.10/368.60 = 149.08/x
  3. Step 3: Cross multiply
    267.10x = 368.60 × 149.08
  4. Step 4: Simplify right side
    267.10x = 54,949.22
  5. Step 5: Solve for x
    x = 54,949.22/267.10
  6. Step 6: Final answer
    x = 205.73

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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.