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Finding the Fourth Proportional to 213.01, 293.68 and 171.56

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Solution

The fourth proportional to 213.01, 293.68 and 171.56 is: 236.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.01 : 293.68 = 171.56 : x
  2. Step 2: Convert to fraction form
    213.01/293.68 = 171.56/x
  3. Step 3: Cross multiply
    213.01x = 293.68 × 171.56
  4. Step 4: Simplify right side
    213.01x = 50,383.74
  5. Step 5: Solve for x
    x = 50,383.74/213.01
  6. Step 6: Final answer
    x = 236.53

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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.