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Finding the Fourth Proportional to 418.11, 627.95 and 213.08

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Solution

The fourth proportional to 418.11, 627.95 and 213.08 is: 320.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.11 : 627.95 = 213.08 : x
  2. Step 2: Convert to fraction form
    418.11/627.95 = 213.08/x
  3. Step 3: Cross multiply
    418.11x = 627.95 × 213.08
  4. Step 4: Simplify right side
    418.11x = 133,804.51
  5. Step 5: Solve for x
    x = 133,804.51/418.11
  6. Step 6: Final answer
    x = 320.02

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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.