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Finding the Fourth Proportional to 286.00, 428.73 and 155.81

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Solution

The fourth proportional to 286.00, 428.73 and 155.81 is: 233.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.00 : 428.73 = 155.81 : x
  2. Step 2: Convert to fraction form
    286.00/428.73 = 155.81/x
  3. Step 3: Cross multiply
    286.00x = 428.73 × 155.81
  4. Step 4: Simplify right side
    286.00x = 66,798.28
  5. Step 5: Solve for x
    x = 66,798.28/286.00
  6. Step 6: Final answer
    x = 233.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.