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Finding the Fourth Proportional to 261.33, 360.44 and 171.55

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Solution

The fourth proportional to 261.33, 360.44 and 171.55 is: 236.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.33 : 360.44 = 171.55 : x
  2. Step 2: Convert to fraction form
    261.33/360.44 = 171.55/x
  3. Step 3: Cross multiply
    261.33x = 360.44 × 171.55
  4. Step 4: Simplify right side
    261.33x = 61,833.48
  5. Step 5: Solve for x
    x = 61,833.48/261.33
  6. Step 6: Final answer
    x = 236.61

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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.