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Finding the Fourth Proportional to 608.00, 838.84 and 359.40

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Solution

The fourth proportional to 608.00, 838.84 and 359.40 is: 495.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.00 : 838.84 = 359.40 : x
  2. Step 2: Convert to fraction form
    608.00/838.84 = 359.40/x
  3. Step 3: Cross multiply
    608.00x = 838.84 × 359.40
  4. Step 4: Simplify right side
    608.00x = 301,477.30
  5. Step 5: Solve for x
    x = 301,477.30/608.00
  6. Step 6: Final answer
    x = 495.85

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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.