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Finding the Fourth Proportional to 421.69, 629.68 and 344.80

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Solution

The fourth proportional to 421.69, 629.68 and 344.80 is: 514.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.69 : 629.68 = 344.80 : x
  2. Step 2: Convert to fraction form
    421.69/629.68 = 344.80/x
  3. Step 3: Cross multiply
    421.69x = 629.68 × 344.80
  4. Step 4: Simplify right side
    421.69x = 217,113.66
  5. Step 5: Solve for x
    x = 217,113.66/421.69
  6. Step 6: Final answer
    x = 514.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.