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Finding the Fourth Proportional to 203.56, 282.07 and 199.24

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Solution

The fourth proportional to 203.56, 282.07 and 199.24 is: 276.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.56 : 282.07 = 199.24 : x
  2. Step 2: Convert to fraction form
    203.56/282.07 = 199.24/x
  3. Step 3: Cross multiply
    203.56x = 282.07 × 199.24
  4. Step 4: Simplify right side
    203.56x = 56,199.63
  5. Step 5: Solve for x
    x = 56,199.63/203.56
  6. Step 6: Final answer
    x = 276.08

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.