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Finding the Fourth Proportional to 419.98, 629.82 and 146.01

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Solution

The fourth proportional to 419.98, 629.82 and 146.01 is: 218.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.98 : 629.82 = 146.01 : x
  2. Step 2: Convert to fraction form
    419.98/629.82 = 146.01/x
  3. Step 3: Cross multiply
    419.98x = 629.82 × 146.01
  4. Step 4: Simplify right side
    419.98x = 91,960.02
  5. Step 5: Solve for x
    x = 91,960.02/419.98
  6. Step 6: Final answer
    x = 218.96

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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.