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Finding the Fourth Proportional to 419.54, 629.44 and 203.12

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Solution

The fourth proportional to 419.54, 629.44 and 203.12 is: 304.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.54 : 629.44 = 203.12 : x
  2. Step 2: Convert to fraction form
    419.54/629.44 = 203.12/x
  3. Step 3: Cross multiply
    419.54x = 629.44 × 203.12
  4. Step 4: Simplify right side
    419.54x = 127,851.85
  5. Step 5: Solve for x
    x = 127,851.85/419.54
  6. Step 6: Final answer
    x = 304.74

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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.