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Finding the Fourth Proportional to 396.84, 592.40 and 335.40

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Solution

The fourth proportional to 396.84, 592.40 and 335.40 is: 500.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.84 : 592.40 = 335.40 : x
  2. Step 2: Convert to fraction form
    396.84/592.40 = 335.40/x
  3. Step 3: Cross multiply
    396.84x = 592.40 × 335.40
  4. Step 4: Simplify right side
    396.84x = 198,689.28
  5. Step 5: Solve for x
    x = 198,689.28/396.84
  6. Step 6: Final answer
    x = 500.68

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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.