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Finding the Fourth Proportional to 419.12, 628.28 and 282.21

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Solution

The fourth proportional to 419.12, 628.28 and 282.21 is: 423.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.12 : 628.28 = 282.21 : x
  2. Step 2: Convert to fraction form
    419.12/628.28 = 282.21/x
  3. Step 3: Cross multiply
    419.12x = 628.28 × 282.21
  4. Step 4: Simplify right side
    419.12x = 177,306.90
  5. Step 5: Solve for x
    x = 177,306.90/419.12
  6. Step 6: Final answer
    x = 423.05

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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.