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Finding the Fourth Proportional to 380.86, 570.85 and 161.35

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Solution

The fourth proportional to 380.86, 570.85 and 161.35 is: 241.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.86 : 570.85 = 161.35 : x
  2. Step 2: Convert to fraction form
    380.86/570.85 = 161.35/x
  3. Step 3: Cross multiply
    380.86x = 570.85 × 161.35
  4. Step 4: Simplify right side
    380.86x = 92,105.15
  5. Step 5: Solve for x
    x = 92,105.15/380.86
  6. Step 6: Final answer
    x = 241.84

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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.