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Finding the Fourth Proportional to 418.99, 628.45 and 130.43

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Solution

The fourth proportional to 418.99, 628.45 and 130.43 is: 195.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.99 : 628.45 = 130.43 : x
  2. Step 2: Convert to fraction form
    418.99/628.45 = 130.43/x
  3. Step 3: Cross multiply
    418.99x = 628.45 × 130.43
  4. Step 4: Simplify right side
    418.99x = 81,968.73
  5. Step 5: Solve for x
    x = 81,968.73/418.99
  6. Step 6: Final answer
    x = 195.63

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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.