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Finding the Fourth Proportional to 261.45, 360.80 and 143.42

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Solution

The fourth proportional to 261.45, 360.80 and 143.42 is: 197.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.45 : 360.80 = 143.42 : x
  2. Step 2: Convert to fraction form
    261.45/360.80 = 143.42/x
  3. Step 3: Cross multiply
    261.45x = 360.80 × 143.42
  4. Step 4: Simplify right side
    261.45x = 51,745.84
  5. Step 5: Solve for x
    x = 51,745.84/261.45
  6. Step 6: Final answer
    x = 197.92

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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.