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Finding the Fourth Proportional to 419.75, 629.12 and 145.53

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Solution

The fourth proportional to 419.75, 629.12 and 145.53 is: 218.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.75 : 629.12 = 145.53 : x
  2. Step 2: Convert to fraction form
    419.75/629.12 = 145.53/x
  3. Step 3: Cross multiply
    419.75x = 629.12 × 145.53
  4. Step 4: Simplify right side
    419.75x = 91,553.61
  5. Step 5: Solve for x
    x = 91,553.61/419.75
  6. Step 6: Final answer
    x = 218.11

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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.