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Finding the Fourth Proportional to 239.76, 361.81 and 231.61

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Solution

The fourth proportional to 239.76, 361.81 and 231.61 is: 349.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.76 : 361.81 = 231.61 : x
  2. Step 2: Convert to fraction form
    239.76/361.81 = 231.61/x
  3. Step 3: Cross multiply
    239.76x = 361.81 × 231.61
  4. Step 4: Simplify right side
    239.76x = 83,798.81
  5. Step 5: Solve for x
    x = 83,798.81/239.76
  6. Step 6: Final answer
    x = 349.51

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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.