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Finding the Fourth Proportional to 180.64, 249.06 and 147.82

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Solution

The fourth proportional to 180.64, 249.06 and 147.82 is: 203.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.64 : 249.06 = 147.82 : x
  2. Step 2: Convert to fraction form
    180.64/249.06 = 147.82/x
  3. Step 3: Cross multiply
    180.64x = 249.06 × 147.82
  4. Step 4: Simplify right side
    180.64x = 36,816.05
  5. Step 5: Solve for x
    x = 36,816.05/180.64
  6. Step 6: Final answer
    x = 203.81

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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.