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Finding the Fourth Proportional to 419.66, 629.48 and 200.30

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Solution

The fourth proportional to 419.66, 629.48 and 200.30 is: 300.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.66 : 629.48 = 200.30 : x
  2. Step 2: Convert to fraction form
    419.66/629.48 = 200.30/x
  3. Step 3: Cross multiply
    419.66x = 629.48 × 200.30
  4. Step 4: Simplify right side
    419.66x = 126,086.92
  5. Step 5: Solve for x
    x = 126,086.92/419.66
  6. Step 6: Final answer
    x = 300.45

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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.