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Finding the Fourth Proportional to 419.20, 628.44 and 202.48

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Solution

The fourth proportional to 419.20, 628.44 and 202.48 is: 303.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.20 : 628.44 = 202.48 : x
  2. Step 2: Convert to fraction form
    419.20/628.44 = 202.48/x
  3. Step 3: Cross multiply
    419.20x = 628.44 × 202.48
  4. Step 4: Simplify right side
    419.20x = 127,246.53
  5. Step 5: Solve for x
    x = 127,246.53/419.20
  6. Step 6: Final answer
    x = 303.55

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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.