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Finding the Fourth Proportional to 418.74, 628.11 and 130.19

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Solution

The fourth proportional to 418.74, 628.11 and 130.19 is: 195.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.74 : 628.11 = 130.19 : x
  2. Step 2: Convert to fraction form
    418.74/628.11 = 130.19/x
  3. Step 3: Cross multiply
    418.74x = 628.11 × 130.19
  4. Step 4: Simplify right side
    418.74x = 81,770.50
  5. Step 5: Solve for x
    x = 81,770.50/418.74
  6. Step 6: Final answer
    x = 195.28

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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.