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Finding the Fourth Proportional to 396.68, 597.34 and 294.68

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Solution

The fourth proportional to 396.68, 597.34 and 294.68 is: 443.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.68 : 597.34 = 294.68 : x
  2. Step 2: Convert to fraction form
    396.68/597.34 = 294.68/x
  3. Step 3: Cross multiply
    396.68x = 597.34 × 294.68
  4. Step 4: Simplify right side
    396.68x = 176,024.15
  5. Step 5: Solve for x
    x = 176,024.15/396.68
  6. Step 6: Final answer
    x = 443.74

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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.