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Finding the Fourth Proportional to 302.70, 452.90 and 200.24

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Solution

The fourth proportional to 302.70, 452.90 and 200.24 is: 299.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.70 : 452.90 = 200.24 : x
  2. Step 2: Convert to fraction form
    302.70/452.90 = 200.24/x
  3. Step 3: Cross multiply
    302.70x = 452.90 × 200.24
  4. Step 4: Simplify right side
    302.70x = 90,685.43
  5. Step 5: Solve for x
    x = 90,685.43/302.70
  6. Step 6: Final answer
    x = 299.59

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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.