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Finding the Fourth Proportional to 213.24, 293.76 and 171.72

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Solution

The fourth proportional to 213.24, 293.76 and 171.72 is: 236.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.24 : 293.76 = 171.72 : x
  2. Step 2: Convert to fraction form
    213.24/293.76 = 171.72/x
  3. Step 3: Cross multiply
    213.24x = 293.76 × 171.72
  4. Step 4: Simplify right side
    213.24x = 50,444.47
  5. Step 5: Solve for x
    x = 50,444.47/213.24
  6. Step 6: Final answer
    x = 236.56

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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.