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Finding the Fourth Proportional to 172.60, 237.21 and 167.74

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Solution

The fourth proportional to 172.60, 237.21 and 167.74 is: 230.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.60 : 237.21 = 167.74 : x
  2. Step 2: Convert to fraction form
    172.60/237.21 = 167.74/x
  3. Step 3: Cross multiply
    172.60x = 237.21 × 167.74
  4. Step 4: Simplify right side
    172.60x = 39,789.33
  5. Step 5: Solve for x
    x = 39,789.33/172.60
  6. Step 6: Final answer
    x = 230.53

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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.