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Finding the Fourth Proportional to 491.78, 737.49 and 217.73

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Solution

The fourth proportional to 491.78, 737.49 and 217.73 is: 326.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.78 : 737.49 = 217.73 : x
  2. Step 2: Convert to fraction form
    491.78/737.49 = 217.73/x
  3. Step 3: Cross multiply
    491.78x = 737.49 × 217.73
  4. Step 4: Simplify right side
    491.78x = 160,573.70
  5. Step 5: Solve for x
    x = 160,573.70/491.78
  6. Step 6: Final answer
    x = 326.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.