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Finding the Fourth Proportional to 351.82, 484.41 and 289.45

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Solution

The fourth proportional to 351.82, 484.41 and 289.45 is: 398.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.82 : 484.41 = 289.45 : x
  2. Step 2: Convert to fraction form
    351.82/484.41 = 289.45/x
  3. Step 3: Cross multiply
    351.82x = 484.41 × 289.45
  4. Step 4: Simplify right side
    351.82x = 140,212.47
  5. Step 5: Solve for x
    x = 140,212.47/351.82
  6. Step 6: Final answer
    x = 398.53

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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.