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Finding the Fourth Proportional to 180.70, 249.32 and 118.50

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Solution

The fourth proportional to 180.70, 249.32 and 118.50 is: 163.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.70 : 249.32 = 118.50 : x
  2. Step 2: Convert to fraction form
    180.70/249.32 = 118.50/x
  3. Step 3: Cross multiply
    180.70x = 249.32 × 118.50
  4. Step 4: Simplify right side
    180.70x = 29,544.42
  5. Step 5: Solve for x
    x = 29,544.42/180.70
  6. Step 6: Final answer
    x = 163.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.