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Finding the Fourth Proportional to 382.39, 572.13 and 267.05

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Solution

The fourth proportional to 382.39, 572.13 and 267.05 is: 399.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.39 : 572.13 = 267.05 : x
  2. Step 2: Convert to fraction form
    382.39/572.13 = 267.05/x
  3. Step 3: Cross multiply
    382.39x = 572.13 × 267.05
  4. Step 4: Simplify right side
    382.39x = 152,788.75
  5. Step 5: Solve for x
    x = 152,788.75/382.39
  6. Step 6: Final answer
    x = 399.57

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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.