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Finding the Fourth Proportional to 180.47, 249.06 and 105.83

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Solution

The fourth proportional to 180.47, 249.06 and 105.83 is: 146.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.47 : 249.06 = 105.83 : x
  2. Step 2: Convert to fraction form
    180.47/249.06 = 105.83/x
  3. Step 3: Cross multiply
    180.47x = 249.06 × 105.83
  4. Step 4: Simplify right side
    180.47x = 26,358.64
  5. Step 5: Solve for x
    x = 26,358.64/180.47
  6. Step 6: Final answer
    x = 146.05

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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.