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Finding the Fourth Proportional to 223.92, 335.64 and 155.46

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Solution

The fourth proportional to 223.92, 335.64 and 155.46 is: 233.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.92 : 335.64 = 155.46 : x
  2. Step 2: Convert to fraction form
    223.92/335.64 = 155.46/x
  3. Step 3: Cross multiply
    223.92x = 335.64 × 155.46
  4. Step 4: Simplify right side
    223.92x = 52,178.59
  5. Step 5: Solve for x
    x = 52,178.59/223.92
  6. Step 6: Final answer
    x = 233.02

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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.