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Finding the Fourth Proportional to 213.48, 293.58 and 169.74

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Solution

The fourth proportional to 213.48, 293.58 and 169.74 is: 233.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.48 : 293.58 = 169.74 : x
  2. Step 2: Convert to fraction form
    213.48/293.58 = 169.74/x
  3. Step 3: Cross multiply
    213.48x = 293.58 × 169.74
  4. Step 4: Simplify right side
    213.48x = 49,832.27
  5. Step 5: Solve for x
    x = 49,832.27/213.48
  6. Step 6: Final answer
    x = 233.43

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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.