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Finding the Fourth Proportional to 420.12, 629.84 and 282.76

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Solution

The fourth proportional to 420.12, 629.84 and 282.76 is: 423.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.12 : 629.84 = 282.76 : x
  2. Step 2: Convert to fraction form
    420.12/629.84 = 282.76/x
  3. Step 3: Cross multiply
    420.12x = 629.84 × 282.76
  4. Step 4: Simplify right side
    420.12x = 178,093.56
  5. Step 5: Solve for x
    x = 178,093.56/420.12
  6. Step 6: Final answer
    x = 423.91

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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.