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Finding the Fourth Proportional to 419.54, 629.31 and 145.63

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Solution

The fourth proportional to 419.54, 629.31 and 145.63 is: 218.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.54 : 629.31 = 145.63 : x
  2. Step 2: Convert to fraction form
    419.54/629.31 = 145.63/x
  3. Step 3: Cross multiply
    419.54x = 629.31 × 145.63
  4. Step 4: Simplify right side
    419.54x = 91,648.99
  5. Step 5: Solve for x
    x = 91,648.99/419.54
  6. Step 6: Final answer
    x = 218.45

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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.