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Finding the Fourth Proportional to 203.12, 303.22 and 195.02

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Solution

The fourth proportional to 203.12, 303.22 and 195.02 is: 291.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.12 : 303.22 = 195.02 : x
  2. Step 2: Convert to fraction form
    203.12/303.22 = 195.02/x
  3. Step 3: Cross multiply
    203.12x = 303.22 × 195.02
  4. Step 4: Simplify right side
    203.12x = 59,133.96
  5. Step 5: Solve for x
    x = 59,133.96/203.12
  6. Step 6: Final answer
    x = 291.13

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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.