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Finding the Fourth Proportional to 608.78, 913.54 and 224.06

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Solution

The fourth proportional to 608.78, 913.54 and 224.06 is: 336.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.78 : 913.54 = 224.06 : x
  2. Step 2: Convert to fraction form
    608.78/913.54 = 224.06/x
  3. Step 3: Cross multiply
    608.78x = 913.54 × 224.06
  4. Step 4: Simplify right side
    608.78x = 204,687.77
  5. Step 5: Solve for x
    x = 204,687.77/608.78
  6. Step 6: Final answer
    x = 336.23

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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.