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Finding the Fourth Proportional to 380.32, 571.79 and 369.96

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Solution

The fourth proportional to 380.32, 571.79 and 369.96 is: 556.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.32 : 571.79 = 369.96 : x
  2. Step 2: Convert to fraction form
    380.32/571.79 = 369.96/x
  3. Step 3: Cross multiply
    380.32x = 571.79 × 369.96
  4. Step 4: Simplify right side
    380.32x = 211,539.43
  5. Step 5: Solve for x
    x = 211,539.43/380.32
  6. Step 6: Final answer
    x = 556.21

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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.