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Finding the Fourth Proportional to 418.98, 628.27 and 202.42

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Solution

The fourth proportional to 418.98, 628.27 and 202.42 is: 303.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.98 : 628.27 = 202.42 : x
  2. Step 2: Convert to fraction form
    418.98/628.27 = 202.42/x
  3. Step 3: Cross multiply
    418.98x = 628.27 × 202.42
  4. Step 4: Simplify right side
    418.98x = 127,174.41
  5. Step 5: Solve for x
    x = 127,174.41/418.98
  6. Step 6: Final answer
    x = 303.53

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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.