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Finding the Fourth Proportional to 419.79, 629.70 and 203.23

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Solution

The fourth proportional to 419.79, 629.70 and 203.23 is: 304.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.79 : 629.70 = 203.23 : x
  2. Step 2: Convert to fraction form
    419.79/629.70 = 203.23/x
  3. Step 3: Cross multiply
    419.79x = 629.70 × 203.23
  4. Step 4: Simplify right side
    419.79x = 127,973.93
  5. Step 5: Solve for x
    x = 127,973.93/419.79
  6. Step 6: Final answer
    x = 304.85

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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.