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Finding the Fourth Proportional to 608.06, 838.86 and 359.30

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Solution

The fourth proportional to 608.06, 838.86 and 359.30 is: 495.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.06 : 838.86 = 359.30 : x
  2. Step 2: Convert to fraction form
    608.06/838.86 = 359.30/x
  3. Step 3: Cross multiply
    608.06x = 838.86 × 359.30
  4. Step 4: Simplify right side
    608.06x = 301,402.40
  5. Step 5: Solve for x
    x = 301,402.40/608.06
  6. Step 6: Final answer
    x = 495.68

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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.