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Finding the Fourth Proportional to 180.56, 250.94 and 178.64

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Solution

The fourth proportional to 180.56, 250.94 and 178.64 is: 248.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.56 : 250.94 = 178.64 : x
  2. Step 2: Convert to fraction form
    180.56/250.94 = 178.64/x
  3. Step 3: Cross multiply
    180.56x = 250.94 × 178.64
  4. Step 4: Simplify right side
    180.56x = 44,827.92
  5. Step 5: Solve for x
    x = 44,827.92/180.56
  6. Step 6: Final answer
    x = 248.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.