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Finding the Fourth Proportional to 239.40, 360.50 and 232.22

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Solution

The fourth proportional to 239.40, 360.50 and 232.22 is: 349.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.40 : 360.50 = 232.22 : x
  2. Step 2: Convert to fraction form
    239.40/360.50 = 232.22/x
  3. Step 3: Cross multiply
    239.40x = 360.50 × 232.22
  4. Step 4: Simplify right side
    239.40x = 83,715.05
  5. Step 5: Solve for x
    x = 83,715.05/239.40
  6. Step 6: Final answer
    x = 349.69

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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.