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Finding the Fourth Proportional to 491.22, 737.12 and 198.86

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Solution

The fourth proportional to 491.22, 737.12 and 198.86 is: 298.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.22 : 737.12 = 198.86 : x
  2. Step 2: Convert to fraction form
    491.22/737.12 = 198.86/x
  3. Step 3: Cross multiply
    491.22x = 737.12 × 198.86
  4. Step 4: Simplify right side
    491.22x = 146,586.02
  5. Step 5: Solve for x
    x = 146,586.02/491.22
  6. Step 6: Final answer
    x = 298.41

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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.