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Finding the Fourth Proportional to 389.50, 580.82 and 380.18

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Solution

The fourth proportional to 389.50, 580.82 and 380.18 is: 566.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.50 : 580.82 = 380.18 : x
  2. Step 2: Convert to fraction form
    389.50/580.82 = 380.18/x
  3. Step 3: Cross multiply
    389.50x = 580.82 × 380.18
  4. Step 4: Simplify right side
    389.50x = 220,816.15
  5. Step 5: Solve for x
    x = 220,816.15/389.50
  6. Step 6: Final answer
    x = 566.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.