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Finding the Fourth Proportional to 418.71, 628.14 and 199.35

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Solution

The fourth proportional to 418.71, 628.14 and 199.35 is: 299.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.71 : 628.14 = 199.35 : x
  2. Step 2: Convert to fraction form
    418.71/628.14 = 199.35/x
  3. Step 3: Cross multiply
    418.71x = 628.14 × 199.35
  4. Step 4: Simplify right side
    418.71x = 125,219.71
  5. Step 5: Solve for x
    x = 125,219.71/418.71
  6. Step 6: Final answer
    x = 299.06

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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.