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Finding the Fourth Proportional to 380.28, 570.31 and 241.37

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Solution

The fourth proportional to 380.28, 570.31 and 241.37 is: 361.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.28 : 570.31 = 241.37 : x
  2. Step 2: Convert to fraction form
    380.28/570.31 = 241.37/x
  3. Step 3: Cross multiply
    380.28x = 570.31 × 241.37
  4. Step 4: Simplify right side
    380.28x = 137,652.27
  5. Step 5: Solve for x
    x = 137,652.27/380.28
  6. Step 6: Final answer
    x = 361.98

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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.