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Finding the Fourth Proportional to 419.69, 629.51 and 145.84

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Solution

The fourth proportional to 419.69, 629.51 and 145.84 is: 218.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.69 : 629.51 = 145.84 : x
  2. Step 2: Convert to fraction form
    419.69/629.51 = 145.84/x
  3. Step 3: Cross multiply
    419.69x = 629.51 × 145.84
  4. Step 4: Simplify right side
    419.69x = 91,805.80
  5. Step 5: Solve for x
    x = 91,805.80/419.69
  6. Step 6: Final answer
    x = 218.75

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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.