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Finding the Fourth Proportional to 172.60, 237.72 and 159.62

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Solution

The fourth proportional to 172.60, 237.72 and 159.62 is: 219.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.60 : 237.72 = 159.62 : x
  2. Step 2: Convert to fraction form
    172.60/237.72 = 159.62/x
  3. Step 3: Cross multiply
    172.60x = 237.72 × 159.62
  4. Step 4: Simplify right side
    172.60x = 37,944.87
  5. Step 5: Solve for x
    x = 37,944.87/172.60
  6. Step 6: Final answer
    x = 219.84

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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.