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Finding the Fourth Proportional to 419.87, 629.84 and 146.05

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Solution

The fourth proportional to 419.87, 629.84 and 146.05 is: 219.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.87 : 629.84 = 146.05 : x
  2. Step 2: Convert to fraction form
    419.87/629.84 = 146.05/x
  3. Step 3: Cross multiply
    419.87x = 629.84 × 146.05
  4. Step 4: Simplify right side
    419.87x = 91,986.92
  5. Step 5: Solve for x
    x = 91,986.92/419.87
  6. Step 6: Final answer
    x = 219.08

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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.