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Finding the Fourth Proportional to 378.29, 522.26 and 299.91

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Solution

The fourth proportional to 378.29, 522.26 and 299.91 is: 414.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.29 : 522.26 = 299.91 : x
  2. Step 2: Convert to fraction form
    378.29/522.26 = 299.91/x
  3. Step 3: Cross multiply
    378.29x = 522.26 × 299.91
  4. Step 4: Simplify right side
    378.29x = 156,629.50
  5. Step 5: Solve for x
    x = 156,629.50/378.29
  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.