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Finding the Fourth Proportional to 419.93, 629.69 and 146.01

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Solution

The fourth proportional to 419.93, 629.69 and 146.01 is: 218.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.93 : 629.69 = 146.01 : x
  2. Step 2: Convert to fraction form
    419.93/629.69 = 146.01/x
  3. Step 3: Cross multiply
    419.93x = 629.69 × 146.01
  4. Step 4: Simplify right side
    419.93x = 91,940.31
  5. Step 5: Solve for x
    x = 91,940.31/419.93
  6. Step 6: Final answer
    x = 218.94

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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.