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Finding the Fourth Proportional to 419.82, 628.81 and 202.94

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Solution

The fourth proportional to 419.82, 628.81 and 202.94 is: 303.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.82 : 628.81 = 202.94 : x
  2. Step 2: Convert to fraction form
    419.82/628.81 = 202.94/x
  3. Step 3: Cross multiply
    419.82x = 628.81 × 202.94
  4. Step 4: Simplify right side
    419.82x = 127,610.70
  5. Step 5: Solve for x
    x = 127,610.70/419.82
  6. Step 6: Final answer
    x = 303.97

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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.