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Finding the Fourth Proportional to 380.70, 571.22 and 364.30

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Solution

The fourth proportional to 380.70, 571.22 and 364.30 is: 546.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.70 : 571.22 = 364.30 : x
  2. Step 2: Convert to fraction form
    380.70/571.22 = 364.30/x
  3. Step 3: Cross multiply
    380.70x = 571.22 × 364.30
  4. Step 4: Simplify right side
    380.70x = 208,095.45
  5. Step 5: Solve for x
    x = 208,095.45/380.70
  6. Step 6: Final answer
    x = 546.61

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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.