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Finding the Fourth Proportional to 180.65, 249.44 and 145.57

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Solution

The fourth proportional to 180.65, 249.44 and 145.57 is: 201.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.65 : 249.44 = 145.57 : x
  2. Step 2: Convert to fraction form
    180.65/249.44 = 145.57/x
  3. Step 3: Cross multiply
    180.65x = 249.44 × 145.57
  4. Step 4: Simplify right side
    180.65x = 36,310.72
  5. Step 5: Solve for x
    x = 36,310.72/180.65
  6. Step 6: Final answer
    x = 201.00

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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.