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Finding the Fourth Proportional to 261.82, 393.06 and 223.55

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Solution

The fourth proportional to 261.82, 393.06 and 223.55 is: 335.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.82 : 393.06 = 223.55 : x
  2. Step 2: Convert to fraction form
    261.82/393.06 = 223.55/x
  3. Step 3: Cross multiply
    261.82x = 393.06 × 223.55
  4. Step 4: Simplify right side
    261.82x = 87,868.56
  5. Step 5: Solve for x
    x = 87,868.56/261.82
  6. Step 6: Final answer
    x = 335.61

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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.