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Finding the Fourth Proportional to 267.06, 368.54 and 149.02

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Solution

The fourth proportional to 267.06, 368.54 and 149.02 is: 205.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.06 : 368.54 = 149.02 : x
  2. Step 2: Convert to fraction form
    267.06/368.54 = 149.02/x
  3. Step 3: Cross multiply
    267.06x = 368.54 × 149.02
  4. Step 4: Simplify right side
    267.06x = 54,919.83
  5. Step 5: Solve for x
    x = 54,919.83/267.06
  6. Step 6: Final answer
    x = 205.65

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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.