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Finding the Fourth Proportional to 238.99, 360.22 and 218.53

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Solution

The fourth proportional to 238.99, 360.22 and 218.53 is: 329.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.99 : 360.22 = 218.53 : x
  2. Step 2: Convert to fraction form
    238.99/360.22 = 218.53/x
  3. Step 3: Cross multiply
    238.99x = 360.22 × 218.53
  4. Step 4: Simplify right side
    238.99x = 78,718.88
  5. Step 5: Solve for x
    x = 78,718.88/238.99
  6. Step 6: Final answer
    x = 329.38

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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.