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Finding the Fourth Proportional to 382.24, 572.10 and 290.43

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Solution

The fourth proportional to 382.24, 572.10 and 290.43 is: 434.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.24 : 572.10 = 290.43 : x
  2. Step 2: Convert to fraction form
    382.24/572.10 = 290.43/x
  3. Step 3: Cross multiply
    382.24x = 572.10 × 290.43
  4. Step 4: Simplify right side
    382.24x = 166,155.55
  5. Step 5: Solve for x
    x = 166,155.55/382.24
  6. Step 6: Final answer
    x = 434.69

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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.