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Finding the Fourth Proportional to 239.94, 361.14 and 204.70

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Solution

The fourth proportional to 239.94, 361.14 and 204.70 is: 308.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.94 : 361.14 = 204.70 : x
  2. Step 2: Convert to fraction form
    239.94/361.14 = 204.70/x
  3. Step 3: Cross multiply
    239.94x = 361.14 × 204.70
  4. Step 4: Simplify right side
    239.94x = 73,925.36
  5. Step 5: Solve for x
    x = 73,925.36/239.94
  6. Step 6: Final answer
    x = 308.10

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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.