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Finding the Fourth Proportional to 608.90, 912.80 and 224.06

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Solution

The fourth proportional to 608.90, 912.80 and 224.06 is: 335.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.90 : 912.80 = 224.06 : x
  2. Step 2: Convert to fraction form
    608.90/912.80 = 224.06/x
  3. Step 3: Cross multiply
    608.90x = 912.80 × 224.06
  4. Step 4: Simplify right side
    608.90x = 204,521.97
  5. Step 5: Solve for x
    x = 204,521.97/608.90
  6. Step 6: Final answer
    x = 335.89

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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.