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Finding the Fourth Proportional to 382.27, 570.09 and 372.95

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Solution

The fourth proportional to 382.27, 570.09 and 372.95 is: 556.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.27 : 570.09 = 372.95 : x
  2. Step 2: Convert to fraction form
    382.27/570.09 = 372.95/x
  3. Step 3: Cross multiply
    382.27x = 570.09 × 372.95
  4. Step 4: Simplify right side
    382.27x = 212,618.43
  5. Step 5: Solve for x
    x = 212,618.43/382.27
  6. Step 6: Final answer
    x = 556.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.