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Finding the Fourth Proportional to 380.40, 570.71 and 160.91

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Solution

The fourth proportional to 380.40, 570.71 and 160.91 is: 241.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.40 : 570.71 = 160.91 : x
  2. Step 2: Convert to fraction form
    380.40/570.71 = 160.91/x
  3. Step 3: Cross multiply
    380.40x = 570.71 × 160.91
  4. Step 4: Simplify right side
    380.40x = 91,833.21
  5. Step 5: Solve for x
    x = 91,833.21/380.40
  6. Step 6: Final answer
    x = 241.41

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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.