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Finding the Fourth Proportional to 379.08, 565.71 and 338.08

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Solution

The fourth proportional to 379.08, 565.71 and 338.08 is: 504.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.08 : 565.71 = 338.08 : x
  2. Step 2: Convert to fraction form
    379.08/565.71 = 338.08/x
  3. Step 3: Cross multiply
    379.08x = 565.71 × 338.08
  4. Step 4: Simplify right side
    379.08x = 191,255.24
  5. Step 5: Solve for x
    x = 191,255.24/379.08
  6. Step 6: Final answer
    x = 504.52

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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.