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Finding the Fourth Proportional to 200.80, 301.02 and 145.24

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Solution

The fourth proportional to 200.80, 301.02 and 145.24 is: 217.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.80 : 301.02 = 145.24 : x
  2. Step 2: Convert to fraction form
    200.80/301.02 = 145.24/x
  3. Step 3: Cross multiply
    200.80x = 301.02 × 145.24
  4. Step 4: Simplify right side
    200.80x = 43,720.14
  5. Step 5: Solve for x
    x = 43,720.14/200.80
  6. Step 6: Final answer
    x = 217.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.