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Finding the Fourth Proportional to 349.83, 521.28 and 343.71

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Solution

The fourth proportional to 349.83, 521.28 and 343.71 is: 512.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.83 : 521.28 = 343.71 : x
  2. Step 2: Convert to fraction form
    349.83/521.28 = 343.71/x
  3. Step 3: Cross multiply
    349.83x = 521.28 × 343.71
  4. Step 4: Simplify right side
    349.83x = 179,169.15
  5. Step 5: Solve for x
    x = 179,169.15/349.83
  6. Step 6: Final answer
    x = 512.16

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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.