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Finding the Fourth Proportional to 203.06, 305.00 and 155.27

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Solution

The fourth proportional to 203.06, 305.00 and 155.27 is: 233.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.06 : 305.00 = 155.27 : x
  2. Step 2: Convert to fraction form
    203.06/305.00 = 155.27/x
  3. Step 3: Cross multiply
    203.06x = 305.00 × 155.27
  4. Step 4: Simplify right side
    203.06x = 47,355.05
  5. Step 5: Solve for x
    x = 47,355.05/203.06
  6. Step 6: Final answer
    x = 233.21

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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.