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Finding the Fourth Proportional to 419.89, 628.20 and 282.28

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Solution

The fourth proportional to 419.89, 628.20 and 282.28 is: 422.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.89 : 628.20 = 282.28 : x
  2. Step 2: Convert to fraction form
    419.89/628.20 = 282.28/x
  3. Step 3: Cross multiply
    419.89x = 628.20 × 282.28
  4. Step 4: Simplify right side
    419.89x = 177,328.30
  5. Step 5: Solve for x
    x = 177,328.30/419.89
  6. Step 6: Final answer
    x = 422.32

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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.