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Finding the Fourth Proportional to 608.05, 838.82 and 359.20

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Solution

The fourth proportional to 608.05, 838.82 and 359.20 is: 495.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.05 : 838.82 = 359.20 : x
  2. Step 2: Convert to fraction form
    608.05/838.82 = 359.20/x
  3. Step 3: Cross multiply
    608.05x = 838.82 × 359.20
  4. Step 4: Simplify right side
    608.05x = 301,304.14
  5. Step 5: Solve for x
    x = 301,304.14/608.05
  6. Step 6: Final answer
    x = 495.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.