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Finding the Fourth Proportional to 268.52, 370.64 and 198.65

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Solution

The fourth proportional to 268.52, 370.64 and 198.65 is: 274.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.52 : 370.64 = 198.65 : x
  2. Step 2: Convert to fraction form
    268.52/370.64 = 198.65/x
  3. Step 3: Cross multiply
    268.52x = 370.64 × 198.65
  4. Step 4: Simplify right side
    268.52x = 73,629.06
  5. Step 5: Solve for x
    x = 73,629.06/268.52
  6. Step 6: Final answer
    x = 274.21

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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.