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Finding the Fourth Proportional to 223.52, 335.54 and 192.74

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Solution

The fourth proportional to 223.52, 335.54 and 192.74 is: 289.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.52 : 335.54 = 192.74 : x
  2. Step 2: Convert to fraction form
    223.52/335.54 = 192.74/x
  3. Step 3: Cross multiply
    223.52x = 335.54 × 192.74
  4. Step 4: Simplify right side
    223.52x = 64,671.98
  5. Step 5: Solve for x
    x = 64,671.98/223.52
  6. Step 6: Final answer
    x = 289.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.