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Finding the Fourth Proportional to 349.70, 521.64 and 343.22

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Solution

The fourth proportional to 349.70, 521.64 and 343.22 is: 511.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.70 : 521.64 = 343.22 : x
  2. Step 2: Convert to fraction form
    349.70/521.64 = 343.22/x
  3. Step 3: Cross multiply
    349.70x = 521.64 × 343.22
  4. Step 4: Simplify right side
    349.70x = 179,037.28
  5. Step 5: Solve for x
    x = 179,037.28/349.70
  6. Step 6: Final answer
    x = 511.97

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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.