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Finding the Fourth Proportional to 213.72, 293.22 and 192.48

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Solution

The fourth proportional to 213.72, 293.22 and 192.48 is: 264.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.72 : 293.22 = 192.48 : x
  2. Step 2: Convert to fraction form
    213.72/293.22 = 192.48/x
  3. Step 3: Cross multiply
    213.72x = 293.22 × 192.48
  4. Step 4: Simplify right side
    213.72x = 56,438.99
  5. Step 5: Solve for x
    x = 56,438.99/213.72
  6. Step 6: Final answer
    x = 264.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.