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Finding the Fourth Proportional to 397.22, 592.66 and 338.78

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Solution

The fourth proportional to 397.22, 592.66 and 338.78 is: 505.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.22 : 592.66 = 338.78 : x
  2. Step 2: Convert to fraction form
    397.22/592.66 = 338.78/x
  3. Step 3: Cross multiply
    397.22x = 592.66 × 338.78
  4. Step 4: Simplify right side
    397.22x = 200,781.35
  5. Step 5: Solve for x
    x = 200,781.35/397.22
  6. Step 6: Final answer
    x = 505.47

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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.