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Finding the Fourth Proportional to 419.55, 629.38 and 141.90

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Solution

The fourth proportional to 419.55, 629.38 and 141.90 is: 212.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.55 : 629.38 = 141.90 : x
  2. Step 2: Convert to fraction form
    419.55/629.38 = 141.90/x
  3. Step 3: Cross multiply
    419.55x = 629.38 × 141.90
  4. Step 4: Simplify right side
    419.55x = 89,309.02
  5. Step 5: Solve for x
    x = 89,309.02/419.55
  6. Step 6: Final answer
    x = 212.87

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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.