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Finding the Fourth Proportional to 547.28, 755.51 and 350.90

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Solution

The fourth proportional to 547.28, 755.51 and 350.90 is: 484.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.28 : 755.51 = 350.90 : x
  2. Step 2: Convert to fraction form
    547.28/755.51 = 350.90/x
  3. Step 3: Cross multiply
    547.28x = 755.51 × 350.90
  4. Step 4: Simplify right side
    547.28x = 265,108.59
  5. Step 5: Solve for x
    x = 265,108.59/547.28
  6. Step 6: Final answer
    x = 484.41

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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.