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Finding the Fourth Proportional to 214.14, 295.31 and 172.56

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Solution

The fourth proportional to 214.14, 295.31 and 172.56 is: 237.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.14 : 295.31 = 172.56 : x
  2. Step 2: Convert to fraction form
    214.14/295.31 = 172.56/x
  3. Step 3: Cross multiply
    214.14x = 295.31 × 172.56
  4. Step 4: Simplify right side
    214.14x = 50,958.57
  5. Step 5: Solve for x
    x = 50,958.57/214.14
  6. Step 6: Final answer
    x = 237.97

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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.