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Finding the Fourth Proportional to 250.46, 377.02 and 193

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Solution

The fourth proportional to 250.46, 377.02 and 193 is: 290.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.46 : 377.02 = 193 : x
  2. Step 2: Convert to fraction form
    250.46/377.02 = 193/x
  3. Step 3: Cross multiply
    250.46x = 377.02 × 193
  4. Step 4: Simplify right side
    250.46x = 72,764.86
  5. Step 5: Solve for x
    x = 72,764.86/250.46
  6. Step 6: Final answer
    x = 290.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.