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Finding the Fourth Proportional to 382.21, 574.24 and 245.53

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Solution

The fourth proportional to 382.21, 574.24 and 245.53 is: 368.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.21 : 574.24 = 245.53 : x
  2. Step 2: Convert to fraction form
    382.21/574.24 = 245.53/x
  3. Step 3: Cross multiply
    382.21x = 574.24 × 245.53
  4. Step 4: Simplify right side
    382.21x = 140,993.15
  5. Step 5: Solve for x
    x = 140,993.15/382.21
  6. Step 6: Final answer
    x = 368.89

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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.