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Finding the Fourth Proportional to 382.81, 574.54 and 151.86

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Solution

The fourth proportional to 382.81, 574.54 and 151.86 is: 227.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.81 : 574.54 = 151.86 : x
  2. Step 2: Convert to fraction form
    382.81/574.54 = 151.86/x
  3. Step 3: Cross multiply
    382.81x = 574.54 × 151.86
  4. Step 4: Simplify right side
    382.81x = 87,249.64
  5. Step 5: Solve for x
    x = 87,249.64/382.81
  6. Step 6: Final answer
    x = 227.92

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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.