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Finding the Fourth Proportional to 382.55, 575.91 and 261.57

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Solution

The fourth proportional to 382.55, 575.91 and 261.57 is: 393.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.55 : 575.91 = 261.57 : x
  2. Step 2: Convert to fraction form
    382.55/575.91 = 261.57/x
  3. Step 3: Cross multiply
    382.55x = 575.91 × 261.57
  4. Step 4: Simplify right side
    382.55x = 150,639.47
  5. Step 5: Solve for x
    x = 150,639.47/382.55
  6. Step 6: Final answer
    x = 393.78

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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.