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Finding the Fourth Proportional to 382.42, 576.02 and 372.70

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Solution

The fourth proportional to 382.42, 576.02 and 372.70 is: 561.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.42 : 576.02 = 372.70 : x
  2. Step 2: Convert to fraction form
    382.42/576.02 = 372.70/x
  3. Step 3: Cross multiply
    382.42x = 576.02 × 372.70
  4. Step 4: Simplify right side
    382.42x = 214,682.65
  5. Step 5: Solve for x
    x = 214,682.65/382.42
  6. Step 6: Final answer
    x = 561.38

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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.