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Finding the Fourth Proportional to 396.81, 597.29 and 359.10

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Solution

The fourth proportional to 396.81, 597.29 and 359.10 is: 540.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.81 : 597.29 = 359.10 : x
  2. Step 2: Convert to fraction form
    396.81/597.29 = 359.10/x
  3. Step 3: Cross multiply
    396.81x = 597.29 × 359.10
  4. Step 4: Simplify right side
    396.81x = 214,485.04
  5. Step 5: Solve for x
    x = 214,485.04/396.81
  6. Step 6: Final answer
    x = 540.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.