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Finding the Fourth Proportional to 239.36, 360.25 and 178.81

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Solution

The fourth proportional to 239.36, 360.25 and 178.81 is: 269.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.36 : 360.25 = 178.81 : x
  2. Step 2: Convert to fraction form
    239.36/360.25 = 178.81/x
  3. Step 3: Cross multiply
    239.36x = 360.25 × 178.81
  4. Step 4: Simplify right side
    239.36x = 64,414.95
  5. Step 5: Solve for x
    x = 64,414.95/239.36
  6. Step 6: Final answer
    x = 269.12

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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.