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Finding the Fourth Proportional to 263.18, 394.78 and 190.28

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Solution

The fourth proportional to 263.18, 394.78 and 190.28 is: 285.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.18 : 394.78 = 190.28 : x
  2. Step 2: Convert to fraction form
    263.18/394.78 = 190.28/x
  3. Step 3: Cross multiply
    263.18x = 394.78 × 190.28
  4. Step 4: Simplify right side
    263.18x = 75,118.74
  5. Step 5: Solve for x
    x = 75,118.74/263.18
  6. Step 6: Final answer
    x = 285.43

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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.