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Finding the Fourth Proportional to 203.77, 280.51 and 183.03

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Solution

The fourth proportional to 203.77, 280.51 and 183.03 is: 251.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.77 : 280.51 = 183.03 : x
  2. Step 2: Convert to fraction form
    203.77/280.51 = 183.03/x
  3. Step 3: Cross multiply
    203.77x = 280.51 × 183.03
  4. Step 4: Simplify right side
    203.77x = 51,343.63
  5. Step 5: Solve for x
    x = 51,343.63/203.77
  6. Step 6: Final answer
    x = 251.97

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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.