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Finding the Fourth Proportional to 203.48, 303.76 and 194.64

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Solution

The fourth proportional to 203.48, 303.76 and 194.64 is: 290.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.48 : 303.76 = 194.64 : x
  2. Step 2: Convert to fraction form
    203.48/303.76 = 194.64/x
  3. Step 3: Cross multiply
    203.48x = 303.76 × 194.64
  4. Step 4: Simplify right side
    203.48x = 59,123.85
  5. Step 5: Solve for x
    x = 59,123.85/203.48
  6. Step 6: Final answer
    x = 290.56

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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.