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Finding the Fourth Proportional to 239.82, 360.98 and 171.81

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Solution

The fourth proportional to 239.82, 360.98 and 171.81 is: 258.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.82 : 360.98 = 171.81 : x
  2. Step 2: Convert to fraction form
    239.82/360.98 = 171.81/x
  3. Step 3: Cross multiply
    239.82x = 360.98 × 171.81
  4. Step 4: Simplify right side
    239.82x = 62,019.97
  5. Step 5: Solve for x
    x = 62,019.97/239.82
  6. Step 6: Final answer
    x = 258.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.