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Finding the Fourth Proportional to 379.55, 566.42 and 338.54

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Solution

The fourth proportional to 379.55, 566.42 and 338.54 is: 505.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.55 : 566.42 = 338.54 : x
  2. Step 2: Convert to fraction form
    379.55/566.42 = 338.54/x
  3. Step 3: Cross multiply
    379.55x = 566.42 × 338.54
  4. Step 4: Simplify right side
    379.55x = 191,751.30
  5. Step 5: Solve for x
    x = 191,751.30/379.55
  6. Step 6: Final answer
    x = 505.21

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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.