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Finding the Fourth Proportional to 149.51, 206 and 132.95

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Solution

The fourth proportional to 149.51, 206 and 132.95 is: 183.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.51 : 206 = 132.95 : x
  2. Step 2: Convert to fraction form
    149.51/206 = 132.95/x
  3. Step 3: Cross multiply
    149.51x = 206 × 132.95
  4. Step 4: Simplify right side
    149.51x = 27,387.70
  5. Step 5: Solve for x
    x = 27,387.70/149.51
  6. Step 6: Final answer
    x = 183.18

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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.