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Finding the Fourth Proportional to 349.35, 521.84 and 347.73

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Solution

The fourth proportional to 349.35, 521.84 and 347.73 is: 519.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.35 : 521.84 = 347.73 : x
  2. Step 2: Convert to fraction form
    349.35/521.84 = 347.73/x
  3. Step 3: Cross multiply
    349.35x = 521.84 × 347.73
  4. Step 4: Simplify right side
    349.35x = 181,457.68
  5. Step 5: Solve for x
    x = 181,457.68/349.35
  6. Step 6: Final answer
    x = 519.42

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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.