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Finding the Fourth Proportional to 203.56, 303.48 and 197.20

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Solution

The fourth proportional to 203.56, 303.48 and 197.20 is: 294.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.56 : 303.48 = 197.20 : x
  2. Step 2: Convert to fraction form
    203.56/303.48 = 197.20/x
  3. Step 3: Cross multiply
    203.56x = 303.48 × 197.20
  4. Step 4: Simplify right side
    203.56x = 59,846.26
  5. Step 5: Solve for x
    x = 59,846.26/203.56
  6. Step 6: Final answer
    x = 294.00

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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.