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Finding the Fourth Proportional to 203.65, 305.02 and 122.32

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Solution

The fourth proportional to 203.65, 305.02 and 122.32 is: 183.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.65 : 305.02 = 122.32 : x
  2. Step 2: Convert to fraction form
    203.65/305.02 = 122.32/x
  3. Step 3: Cross multiply
    203.65x = 305.02 × 122.32
  4. Step 4: Simplify right side
    203.65x = 37,310.05
  5. Step 5: Solve for x
    x = 37,310.05/203.65
  6. Step 6: Final answer
    x = 183.21

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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.