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Finding the Fourth Proportional to 420, 628.72 and 281.96

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Solution

The fourth proportional to 420, 628.72 and 281.96 is: 422.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    420 : 628.72 = 281.96 : x
  2. Step 2: Convert to fraction form
    420/628.72 = 281.96/x
  3. Step 3: Cross multiply
    420x = 628.72 × 281.96
  4. Step 4: Simplify right side
    420x = 177,273.89
  5. Step 5: Solve for x
    x = 177,273.89/420
  6. Step 6: Final answer
    x = 422.08

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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.