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Finding the Fourth Proportional to 419.90, 629.93 and 127.39

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Solution

The fourth proportional to 419.90, 629.93 and 127.39 is: 191.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.90 : 629.93 = 127.39 : x
  2. Step 2: Convert to fraction form
    419.90/629.93 = 127.39/x
  3. Step 3: Cross multiply
    419.90x = 629.93 × 127.39
  4. Step 4: Simplify right side
    419.90x = 80,246.71
  5. Step 5: Solve for x
    x = 80,246.71/419.90
  6. Step 6: Final answer
    x = 191.11

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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.