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Finding the Fourth Proportional to 420.02, 629.94 and 159.84

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Solution

The fourth proportional to 420.02, 629.94 and 159.84 is: 239.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.02 : 629.94 = 159.84 : x
  2. Step 2: Convert to fraction form
    420.02/629.94 = 159.84/x
  3. Step 3: Cross multiply
    420.02x = 629.94 × 159.84
  4. Step 4: Simplify right side
    420.02x = 100,690.21
  5. Step 5: Solve for x
    x = 100,690.21/420.02
  6. Step 6: Final answer
    x = 239.73

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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.