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Finding the Fourth Proportional to 352.68, 527.79 and 347.22

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Solution

The fourth proportional to 352.68, 527.79 and 347.22 is: 519.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.68 : 527.79 = 347.22 : x
  2. Step 2: Convert to fraction form
    352.68/527.79 = 347.22/x
  3. Step 3: Cross multiply
    352.68x = 527.79 × 347.22
  4. Step 4: Simplify right side
    352.68x = 183,259.24
  5. Step 5: Solve for x
    x = 183,259.24/352.68
  6. Step 6: Final answer
    x = 519.62

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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.