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Finding the Fourth Proportional to 302.87, 452.12 and 280.33

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Solution

The fourth proportional to 302.87, 452.12 and 280.33 is: 418.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.87 : 452.12 = 280.33 : x
  2. Step 2: Convert to fraction form
    302.87/452.12 = 280.33/x
  3. Step 3: Cross multiply
    302.87x = 452.12 × 280.33
  4. Step 4: Simplify right side
    302.87x = 126,742.80
  5. Step 5: Solve for x
    x = 126,742.80/302.87
  6. Step 6: Final answer
    x = 418.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.