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Finding the Fourth Proportional to 231.03, 345.03 and 200.25

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Solution

The fourth proportional to 231.03, 345.03 and 200.25 is: 299.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.03 : 345.03 = 200.25 : x
  2. Step 2: Convert to fraction form
    231.03/345.03 = 200.25/x
  3. Step 3: Cross multiply
    231.03x = 345.03 × 200.25
  4. Step 4: Simplify right side
    231.03x = 69,092.26
  5. Step 5: Solve for x
    x = 69,092.26/231.03
  6. Step 6: Final answer
    x = 299.06

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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.