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Finding the Fourth Proportional to 239.69, 361.69 and 231.11

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Solution

The fourth proportional to 239.69, 361.69 and 231.11 is: 348.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.69 : 361.69 = 231.11 : x
  2. Step 2: Convert to fraction form
    239.69/361.69 = 231.11/x
  3. Step 3: Cross multiply
    239.69x = 361.69 × 231.11
  4. Step 4: Simplify right side
    239.69x = 83,587.79
  5. Step 5: Solve for x
    x = 83,587.79/239.69
  6. Step 6: Final answer
    x = 348.74

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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.