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Finding the Fourth Proportional to 302.15, 453.64 and 200.09

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Solution

The fourth proportional to 302.15, 453.64 and 200.09 is: 300.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.15 : 453.64 = 200.09 : x
  2. Step 2: Convert to fraction form
    302.15/453.64 = 200.09/x
  3. Step 3: Cross multiply
    302.15x = 453.64 × 200.09
  4. Step 4: Simplify right side
    302.15x = 90,766.06
  5. Step 5: Solve for x
    x = 90,766.06/302.15
  6. Step 6: Final answer
    x = 300.41

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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.