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Finding the Fourth Proportional to 491.93, 737.96 and 217.97

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Solution

The fourth proportional to 491.93, 737.96 and 217.97 is: 326.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.93 : 737.96 = 217.97 : x
  2. Step 2: Convert to fraction form
    491.93/737.96 = 217.97/x
  3. Step 3: Cross multiply
    491.93x = 737.96 × 217.97
  4. Step 4: Simplify right side
    491.93x = 160,852.05
  5. Step 5: Solve for x
    x = 160,852.05/491.93
  6. Step 6: Final answer
    x = 326.98

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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.