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Finding the Fourth Proportional to 382.91, 528.71 and 299.87

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Solution

The fourth proportional to 382.91, 528.71 and 299.87 is: 414.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.91 : 528.71 = 299.87 : x
  2. Step 2: Convert to fraction form
    382.91/528.71 = 299.87/x
  3. Step 3: Cross multiply
    382.91x = 528.71 × 299.87
  4. Step 4: Simplify right side
    382.91x = 158,540.12
  5. Step 5: Solve for x
    x = 158,540.12/382.91
  6. Step 6: Final answer
    x = 414.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.