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Finding the Fourth Proportional to 379.35, 566.13 and 338.36

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Solution

The fourth proportional to 379.35, 566.13 and 338.36 is: 504.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.35 : 566.13 = 338.36 : x
  2. Step 2: Convert to fraction form
    379.35/566.13 = 338.36/x
  3. Step 3: Cross multiply
    379.35x = 566.13 × 338.36
  4. Step 4: Simplify right side
    379.35x = 191,552.92
  5. Step 5: Solve for x
    x = 191,552.92/379.35
  6. Step 6: Final answer
    x = 504.95

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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.