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Finding the Fourth Proportional to 180.95, 249.71 and 103.32

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Solution

The fourth proportional to 180.95, 249.71 and 103.32 is: 142.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.95 : 249.71 = 103.32 : x
  2. Step 2: Convert to fraction form
    180.95/249.71 = 103.32/x
  3. Step 3: Cross multiply
    180.95x = 249.71 × 103.32
  4. Step 4: Simplify right side
    180.95x = 25,799.52
  5. Step 5: Solve for x
    x = 25,799.52/180.95
  6. Step 6: Final answer
    x = 142.58

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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.