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Finding the Fourth Proportional to 180.64, 249.18 and 136.84

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Solution

The fourth proportional to 180.64, 249.18 and 136.84 is: 188.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.64 : 249.18 = 136.84 : x
  2. Step 2: Convert to fraction form
    180.64/249.18 = 136.84/x
  3. Step 3: Cross multiply
    180.64x = 249.18 × 136.84
  4. Step 4: Simplify right side
    180.64x = 34,097.79
  5. Step 5: Solve for x
    x = 34,097.79/180.64
  6. Step 6: Final answer
    x = 188.76

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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.