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Finding the Fourth Proportional to 547.90, 755.97 and 351.68

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Solution

The fourth proportional to 547.90, 755.97 and 351.68 is: 485.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.90 : 755.97 = 351.68 : x
  2. Step 2: Convert to fraction form
    547.90/755.97 = 351.68/x
  3. Step 3: Cross multiply
    547.90x = 755.97 × 351.68
  4. Step 4: Simplify right side
    547.90x = 265,859.53
  5. Step 5: Solve for x
    x = 265,859.53/547.90
  6. Step 6: Final answer
    x = 485.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.