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Finding the Fourth Proportional to 286.53, 395.41 and 155.54

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Solution

The fourth proportional to 286.53, 395.41 and 155.54 is: 214.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.53 : 395.41 = 155.54 : x
  2. Step 2: Convert to fraction form
    286.53/395.41 = 155.54/x
  3. Step 3: Cross multiply
    286.53x = 395.41 × 155.54
  4. Step 4: Simplify right side
    286.53x = 61,500.09
  5. Step 5: Solve for x
    x = 61,500.09/286.53
  6. Step 6: Final answer
    x = 214.64

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Why These Related Problems?

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