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Finding the Fourth Proportional to 180.83, 248.47 and 172.78

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Solution

The fourth proportional to 180.83, 248.47 and 172.78 is: 237.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.83 : 248.47 = 172.78 : x
  2. Step 2: Convert to fraction form
    180.83/248.47 = 172.78/x
  3. Step 3: Cross multiply
    180.83x = 248.47 × 172.78
  4. Step 4: Simplify right side
    180.83x = 42,930.99
  5. Step 5: Solve for x
    x = 42,930.99/180.83
  6. Step 6: Final answer
    x = 237.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.