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Finding the Fourth Proportional to 382.44, 573.66 and 93.88

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Solution

The fourth proportional to 382.44, 573.66 and 93.88 is: 140.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.44 : 573.66 = 93.88 : x
  2. Step 2: Convert to fraction form
    382.44/573.66 = 93.88/x
  3. Step 3: Cross multiply
    382.44x = 573.66 × 93.88
  4. Step 4: Simplify right side
    382.44x = 53,851.86
  5. Step 5: Solve for x
    x = 53,851.86/382.44
  6. Step 6: Final answer
    x = 140.81

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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.