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Finding the Fourth Proportional to 414.63, 620.60 and 219.35

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Solution

The fourth proportional to 414.63, 620.60 and 219.35 is: 328.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.63 : 620.60 = 219.35 : x
  2. Step 2: Convert to fraction form
    414.63/620.60 = 219.35/x
  3. Step 3: Cross multiply
    414.63x = 620.60 × 219.35
  4. Step 4: Simplify right side
    414.63x = 136,130.71
  5. Step 5: Solve for x
    x = 136,130.71/414.63
  6. Step 6: Final answer
    x = 328.32

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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.