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Finding the Fourth Proportional to 309.42, 426.87 and 198.81

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Solution

The fourth proportional to 309.42, 426.87 and 198.81 is: 274.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.42 : 426.87 = 198.81 : x
  2. Step 2: Convert to fraction form
    309.42/426.87 = 198.81/x
  3. Step 3: Cross multiply
    309.42x = 426.87 × 198.81
  4. Step 4: Simplify right side
    309.42x = 84,866.02
  5. Step 5: Solve for x
    x = 84,866.02/309.42
  6. Step 6: Final answer
    x = 274.27

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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.