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Finding the Fourth Proportional to 354.57, 491.37 and 349.61

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Solution

The fourth proportional to 354.57, 491.37 and 349.61 is: 484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.57 : 491.37 = 349.61 : x
  2. Step 2: Convert to fraction form
    354.57/491.37 = 349.61/x
  3. Step 3: Cross multiply
    354.57x = 491.37 × 349.61
  4. Step 4: Simplify right side
    354.57x = 171,787.25
  5. Step 5: Solve for x
    x = 171,787.25/354.57
  6. Step 6: Final answer
    x = 484.50

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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.