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Finding the Fourth Proportional to 380.62, 571.05 and 209.50

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Solution

The fourth proportional to 380.62, 571.05 and 209.50 is: 314.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.62 : 571.05 = 209.50 : x
  2. Step 2: Convert to fraction form
    380.62/571.05 = 209.50/x
  3. Step 3: Cross multiply
    380.62x = 571.05 × 209.50
  4. Step 4: Simplify right side
    380.62x = 119,634.98
  5. Step 5: Solve for x
    x = 119,634.98/380.62
  6. Step 6: Final answer
    x = 314.32

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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.