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Finding the Fourth Proportional to 419.40, 629.10 and 130.83

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Solution

The fourth proportional to 419.40, 629.10 and 130.83 is: 196.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.40 : 629.10 = 130.83 : x
  2. Step 2: Convert to fraction form
    419.40/629.10 = 130.83/x
  3. Step 3: Cross multiply
    419.40x = 629.10 × 130.83
  4. Step 4: Simplify right side
    419.40x = 82,305.15
  5. Step 5: Solve for x
    x = 82,305.15/419.40
  6. Step 6: Final answer
    x = 196.25

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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.