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Finding the Fourth Proportional to 608.22, 912.49 and 218.26

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Solution

The fourth proportional to 608.22, 912.49 and 218.26 is: 327.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.22 : 912.49 = 218.26 : x
  2. Step 2: Convert to fraction form
    608.22/912.49 = 218.26/x
  3. Step 3: Cross multiply
    608.22x = 912.49 × 218.26
  4. Step 4: Simplify right side
    608.22x = 199,160.07
  5. Step 5: Solve for x
    x = 199,160.07/608.22
  6. Step 6: Final answer
    x = 327.45

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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.