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Finding the Fourth Proportional to 343.05, 513.96 and 261.64

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Solution

The fourth proportional to 343.05, 513.96 and 261.64 is: 391.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.05 : 513.96 = 261.64 : x
  2. Step 2: Convert to fraction form
    343.05/513.96 = 261.64/x
  3. Step 3: Cross multiply
    343.05x = 513.96 × 261.64
  4. Step 4: Simplify right side
    343.05x = 134,472.49
  5. Step 5: Solve for x
    x = 134,472.49/343.05
  6. Step 6: Final answer
    x = 391.99

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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.