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Finding the Fourth Proportional to 547.42, 755.28 and 351.12

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Solution

The fourth proportional to 547.42, 755.28 and 351.12 is: 484.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.42 : 755.28 = 351.12 : x
  2. Step 2: Convert to fraction form
    547.42/755.28 = 351.12/x
  3. Step 3: Cross multiply
    547.42x = 755.28 × 351.12
  4. Step 4: Simplify right side
    547.42x = 265,193.91
  5. Step 5: Solve for x
    x = 265,193.91/547.42
  6. Step 6: Final answer
    x = 484.44

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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.