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Finding the Fourth Proportional to 381.66, 574.80 and 336.48

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Solution

The fourth proportional to 381.66, 574.80 and 336.48 is: 506.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.66 : 574.80 = 336.48 : x
  2. Step 2: Convert to fraction form
    381.66/574.80 = 336.48/x
  3. Step 3: Cross multiply
    381.66x = 574.80 × 336.48
  4. Step 4: Simplify right side
    381.66x = 193,408.70
  5. Step 5: Solve for x
    x = 193,408.70/381.66
  6. Step 6: Final answer
    x = 506.76

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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.