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Finding the Fourth Proportional to 203.58, 303.56 and 199.94

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Solution

The fourth proportional to 203.58, 303.56 and 199.94 is: 298.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.58 : 303.56 = 199.94 : x
  2. Step 2: Convert to fraction form
    203.58/303.56 = 199.94/x
  3. Step 3: Cross multiply
    203.58x = 303.56 × 199.94
  4. Step 4: Simplify right side
    203.58x = 60,693.79
  5. Step 5: Solve for x
    x = 60,693.79/203.58
  6. Step 6: Final answer
    x = 298.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.