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Finding the Fourth Proportional to 302.28, 452.48 and 219.80

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Solution

The fourth proportional to 302.28, 452.48 and 219.80 is: 329.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.28 : 452.48 = 219.80 : x
  2. Step 2: Convert to fraction form
    302.28/452.48 = 219.80/x
  3. Step 3: Cross multiply
    302.28x = 452.48 × 219.80
  4. Step 4: Simplify right side
    302.28x = 99,451.74
  5. Step 5: Solve for x
    x = 99,451.74/302.28
  6. Step 6: Final answer
    x = 329.01

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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.