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Finding the Fourth Proportional to 356.70, 494.76 and 347.22

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Solution

The fourth proportional to 356.70, 494.76 and 347.22 is: 481.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.70 : 494.76 = 347.22 : x
  2. Step 2: Convert to fraction form
    356.70/494.76 = 347.22/x
  3. Step 3: Cross multiply
    356.70x = 494.76 × 347.22
  4. Step 4: Simplify right side
    356.70x = 171,791.87
  5. Step 5: Solve for x
    x = 171,791.87/356.70
  6. Step 6: Final answer
    x = 481.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.