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Finding the Fourth Proportional to 379.43, 566.26 and 369.71

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Solution

The fourth proportional to 379.43, 566.26 and 369.71 is: 551.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.43 : 566.26 = 369.71 : x
  2. Step 2: Convert to fraction form
    379.43/566.26 = 369.71/x
  3. Step 3: Cross multiply
    379.43x = 566.26 × 369.71
  4. Step 4: Simplify right side
    379.43x = 209,351.98
  5. Step 5: Solve for x
    x = 209,351.98/379.43
  6. Step 6: Final answer
    x = 551.75

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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.