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Finding the Fourth Proportional to 180.21, 250.36 and 178.53

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Solution

The fourth proportional to 180.21, 250.36 and 178.53 is: 248.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.21 : 250.36 = 178.53 : x
  2. Step 2: Convert to fraction form
    180.21/250.36 = 178.53/x
  3. Step 3: Cross multiply
    180.21x = 250.36 × 178.53
  4. Step 4: Simplify right side
    180.21x = 44,696.77
  5. Step 5: Solve for x
    x = 44,696.77/180.21
  6. Step 6: Final answer
    x = 248.03

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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.