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Finding the Fourth Proportional to 419.90, 629.39 and 188.55

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Solution

The fourth proportional to 419.90, 629.39 and 188.55 is: 282.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.90 : 629.39 = 188.55 : x
  2. Step 2: Convert to fraction form
    419.90/629.39 = 188.55/x
  3. Step 3: Cross multiply
    419.90x = 629.39 × 188.55
  4. Step 4: Simplify right side
    419.90x = 118,671.48
  5. Step 5: Solve for x
    x = 118,671.48/419.90
  6. Step 6: Final answer
    x = 282.62

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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.