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Finding the Fourth Proportional to 219.62, 327.06 and 210.26

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Solution

The fourth proportional to 219.62, 327.06 and 210.26 is: 313.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.62 : 327.06 = 210.26 : x
  2. Step 2: Convert to fraction form
    219.62/327.06 = 210.26/x
  3. Step 3: Cross multiply
    219.62x = 327.06 × 210.26
  4. Step 4: Simplify right side
    219.62x = 68,767.64
  5. Step 5: Solve for x
    x = 68,767.64/219.62
  6. Step 6: Final answer
    x = 313.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.