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Finding the Fourth Proportional to 379.78, 565.94 and 369.23

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Solution

The fourth proportional to 379.78, 565.94 and 369.23 is: 550.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.78 : 565.94 = 369.23 : x
  2. Step 2: Convert to fraction form
    379.78/565.94 = 369.23/x
  3. Step 3: Cross multiply
    379.78x = 565.94 × 369.23
  4. Step 4: Simplify right side
    379.78x = 208,960.12
  5. Step 5: Solve for x
    x = 208,960.12/379.78
  6. Step 6: Final answer
    x = 550.22

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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.