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Finding the Fourth Proportional to 302.28, 452.70 and 221.64

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Solution

The fourth proportional to 302.28, 452.70 and 221.64 is: 331.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.28 : 452.70 = 221.64 : x
  2. Step 2: Convert to fraction form
    302.28/452.70 = 221.64/x
  3. Step 3: Cross multiply
    302.28x = 452.70 × 221.64
  4. Step 4: Simplify right side
    302.28x = 100,336.43
  5. Step 5: Solve for x
    x = 100,336.43/302.28
  6. Step 6: Final answer
    x = 331.93

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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.