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Finding the Fourth Proportional to 381, 572.88 and 350.91

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Solution

The fourth proportional to 381, 572.88 and 350.91 is: 527.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    381 : 572.88 = 350.91 : x
  2. Step 2: Convert to fraction form
    381/572.88 = 350.91/x
  3. Step 3: Cross multiply
    381x = 572.88 × 350.91
  4. Step 4: Simplify right side
    381x = 201,029.32
  5. Step 5: Solve for x
    x = 201,029.32/381
  6. Step 6: Final answer
    x = 527.64

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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.