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Finding the Fourth Proportional to 418.82, 628.21 and 144.93

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Solution

The fourth proportional to 418.82, 628.21 and 144.93 is: 217.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.82 : 628.21 = 144.93 : x
  2. Step 2: Convert to fraction form
    418.82/628.21 = 144.93/x
  3. Step 3: Cross multiply
    418.82x = 628.21 × 144.93
  4. Step 4: Simplify right side
    418.82x = 91,049.01
  5. Step 5: Solve for x
    x = 91,049.01/418.82
  6. Step 6: Final answer
    x = 217.40

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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.