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Finding the Fourth Proportional to 396.64, 598.12 and 340

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Solution

The fourth proportional to 396.64, 598.12 and 340 is: 512.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.64 : 598.12 = 340 : x
  2. Step 2: Convert to fraction form
    396.64/598.12 = 340/x
  3. Step 3: Cross multiply
    396.64x = 598.12 × 340
  4. Step 4: Simplify right side
    396.64x = 203,360.80
  5. Step 5: Solve for x
    x = 203,360.80/396.64
  6. Step 6: Final answer
    x = 512.71

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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.