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Finding the Fourth Proportional to 419.28, 628.40 and 202.36

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Solution

The fourth proportional to 419.28, 628.40 and 202.36 is: 303.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.28 : 628.40 = 202.36 : x
  2. Step 2: Convert to fraction form
    419.28/628.40 = 202.36/x
  3. Step 3: Cross multiply
    419.28x = 628.40 × 202.36
  4. Step 4: Simplify right side
    419.28x = 127,163.02
  5. Step 5: Solve for x
    x = 127,163.02/419.28
  6. Step 6: Final answer
    x = 303.29

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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.