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Finding the Fourth Proportional to 286.28, 394.94 and 175.71

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Solution

The fourth proportional to 286.28, 394.94 and 175.71 is: 242.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.28 : 394.94 = 175.71 : x
  2. Step 2: Convert to fraction form
    286.28/394.94 = 175.71/x
  3. Step 3: Cross multiply
    286.28x = 394.94 × 175.71
  4. Step 4: Simplify right side
    286.28x = 69,395.51
  5. Step 5: Solve for x
    x = 69,395.51/286.28
  6. Step 6: Final answer
    x = 242.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.