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Finding the Fourth Proportional to 149.08, 205.78 and 133.51

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Solution

The fourth proportional to 149.08, 205.78 and 133.51 is: 184.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.08 : 205.78 = 133.51 : x
  2. Step 2: Convert to fraction form
    149.08/205.78 = 133.51/x
  3. Step 3: Cross multiply
    149.08x = 205.78 × 133.51
  4. Step 4: Simplify right side
    149.08x = 27,472.66
  5. Step 5: Solve for x
    x = 27,472.66/149.08
  6. Step 6: Final answer
    x = 184.29

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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.