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Finding the Fourth Proportional to 397.84, 595.92 and 343.84

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Solution

The fourth proportional to 397.84, 595.92 and 343.84 is: 515.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.84 : 595.92 = 343.84 : x
  2. Step 2: Convert to fraction form
    397.84/595.92 = 343.84/x
  3. Step 3: Cross multiply
    397.84x = 595.92 × 343.84
  4. Step 4: Simplify right side
    397.84x = 204,901.13
  5. Step 5: Solve for x
    x = 204,901.13/397.84
  6. Step 6: Final answer
    x = 515.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.