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Finding the Fourth Proportional to 303.52, 418.68 and 198.64

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Solution

The fourth proportional to 303.52, 418.68 and 198.64 is: 274.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.52 : 418.68 = 198.64 : x
  2. Step 2: Convert to fraction form
    303.52/418.68 = 198.64/x
  3. Step 3: Cross multiply
    303.52x = 418.68 × 198.64
  4. Step 4: Simplify right side
    303.52x = 83,166.60
  5. Step 5: Solve for x
    x = 83,166.60/303.52
  6. Step 6: Final answer
    x = 274.01

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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.