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Finding the Fourth Proportional to 180.36, 250.65 and 178.38

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Solution

The fourth proportional to 180.36, 250.65 and 178.38 is: 247.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.36 : 250.65 = 178.38 : x
  2. Step 2: Convert to fraction form
    180.36/250.65 = 178.38/x
  3. Step 3: Cross multiply
    180.36x = 250.65 × 178.38
  4. Step 4: Simplify right side
    180.36x = 44,710.95
  5. Step 5: Solve for x
    x = 44,710.95/180.36
  6. Step 6: Final answer
    x = 247.90

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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.