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Finding the Fourth Proportional to 397.85, 593.89 and 349.25

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Solution

The fourth proportional to 397.85, 593.89 and 349.25 is: 521.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.85 : 593.89 = 349.25 : x
  2. Step 2: Convert to fraction form
    397.85/593.89 = 349.25/x
  3. Step 3: Cross multiply
    397.85x = 593.89 × 349.25
  4. Step 4: Simplify right side
    397.85x = 207,416.08
  5. Step 5: Solve for x
    x = 207,416.08/397.85
  6. Step 6: Final answer
    x = 521.34

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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.