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Finding the Fourth Proportional to 382.05, 575.15 and 261.07

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Solution

The fourth proportional to 382.05, 575.15 and 261.07 is: 393.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.05 : 575.15 = 261.07 : x
  2. Step 2: Convert to fraction form
    382.05/575.15 = 261.07/x
  3. Step 3: Cross multiply
    382.05x = 575.15 × 261.07
  4. Step 4: Simplify right side
    382.05x = 150,154.41
  5. Step 5: Solve for x
    x = 150,154.41/382.05
  6. Step 6: Final answer
    x = 393.02

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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.