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Finding the Fourth Proportional to 419.89, 629.85 and 145.93

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Solution

The fourth proportional to 419.89, 629.85 and 145.93 is: 218.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.89 : 629.85 = 145.93 : x
  2. Step 2: Convert to fraction form
    419.89/629.85 = 145.93/x
  3. Step 3: Cross multiply
    419.89x = 629.85 × 145.93
  4. Step 4: Simplify right side
    419.89x = 91,914.01
  5. Step 5: Solve for x
    x = 91,914.01/419.89
  6. Step 6: Final answer
    x = 218.90

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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.