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Finding the Fourth Proportional to 396.60, 545.94 and 341.22

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Solution

The fourth proportional to 396.60, 545.94 and 341.22 is: 469.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.60 : 545.94 = 341.22 : x
  2. Step 2: Convert to fraction form
    396.60/545.94 = 341.22/x
  3. Step 3: Cross multiply
    396.60x = 545.94 × 341.22
  4. Step 4: Simplify right side
    396.60x = 186,285.65
  5. Step 5: Solve for x
    x = 186,285.65/396.60
  6. Step 6: Final answer
    x = 469.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.