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Finding the Fourth Proportional to 180.50, 249.54 and 172.86

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Solution

The fourth proportional to 180.50, 249.54 and 172.86 is: 238.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.50 : 249.54 = 172.86 : x
  2. Step 2: Convert to fraction form
    180.50/249.54 = 172.86/x
  3. Step 3: Cross multiply
    180.50x = 249.54 × 172.86
  4. Step 4: Simplify right side
    180.50x = 43,135.48
  5. Step 5: Solve for x
    x = 43,135.48/180.50
  6. Step 6: Final answer
    x = 238.98

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Why These Related Problems?

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