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Finding the Fourth Proportional to 180.96, 249.54 and 149.82

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Solution

The fourth proportional to 180.96, 249.54 and 149.82 is: 206.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.96 : 249.54 = 149.82 : x
  2. Step 2: Convert to fraction form
    180.96/249.54 = 149.82/x
  3. Step 3: Cross multiply
    180.96x = 249.54 × 149.82
  4. Step 4: Simplify right side
    180.96x = 37,386.08
  5. Step 5: Solve for x
    x = 37,386.08/180.96
  6. Step 6: Final answer
    x = 206.60

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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.