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Finding the Fourth Proportional to 186.50, 256.77 and 172.73

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Solution

The fourth proportional to 186.50, 256.77 and 172.73 is: 237.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.50 : 256.77 = 172.73 : x
  2. Step 2: Convert to fraction form
    186.50/256.77 = 172.73/x
  3. Step 3: Cross multiply
    186.50x = 256.77 × 172.73
  4. Step 4: Simplify right side
    186.50x = 44,352.52
  5. Step 5: Solve for x
    x = 44,352.52/186.50
  6. Step 6: Final answer
    x = 237.81

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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.