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Finding the Fourth Proportional to 261.43, 360.74 and 198.45

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Solution

The fourth proportional to 261.43, 360.74 and 198.45 is: 273.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.43 : 360.74 = 198.45 : x
  2. Step 2: Convert to fraction form
    261.43/360.74 = 198.45/x
  3. Step 3: Cross multiply
    261.43x = 360.74 × 198.45
  4. Step 4: Simplify right side
    261.43x = 71,588.85
  5. Step 5: Solve for x
    x = 71,588.85/261.43
  6. Step 6: Final answer
    x = 273.84

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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.