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Finding the Fourth Proportional to 303.99, 419.22 and 204.63

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Solution

The fourth proportional to 303.99, 419.22 and 204.63 is: 282.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.99 : 419.22 = 204.63 : x
  2. Step 2: Convert to fraction form
    303.99/419.22 = 204.63/x
  3. Step 3: Cross multiply
    303.99x = 419.22 × 204.63
  4. Step 4: Simplify right side
    303.99x = 85,784.99
  5. Step 5: Solve for x
    x = 85,784.99/303.99
  6. Step 6: Final answer
    x = 282.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.