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Finding the Fourth Proportional to 382.52, 576.14 and 349.22

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Solution

The fourth proportional to 382.52, 576.14 and 349.22 is: 525.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.52 : 576.14 = 349.22 : x
  2. Step 2: Convert to fraction form
    382.52/576.14 = 349.22/x
  3. Step 3: Cross multiply
    382.52x = 576.14 × 349.22
  4. Step 4: Simplify right side
    382.52x = 201,199.61
  5. Step 5: Solve for x
    x = 201,199.61/382.52
  6. Step 6: Final answer
    x = 525.98

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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.