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Finding the Fourth Proportional to 379.41, 565.93 and 353.89

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Solution

The fourth proportional to 379.41, 565.93 and 353.89 is: 527.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.41 : 565.93 = 353.89 : x
  2. Step 2: Convert to fraction form
    379.41/565.93 = 353.89/x
  3. Step 3: Cross multiply
    379.41x = 565.93 × 353.89
  4. Step 4: Simplify right side
    379.41x = 200,276.97
  5. Step 5: Solve for x
    x = 200,276.97/379.41
  6. Step 6: Final answer
    x = 527.86

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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.