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Finding the Fourth Proportional to 355.36, 490.08 and 238.88

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Solution

The fourth proportional to 355.36, 490.08 and 238.88 is: 329.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.36 : 490.08 = 238.88 : x
  2. Step 2: Convert to fraction form
    355.36/490.08 = 238.88/x
  3. Step 3: Cross multiply
    355.36x = 490.08 × 238.88
  4. Step 4: Simplify right side
    355.36x = 117,070.31
  5. Step 5: Solve for x
    x = 117,070.31/355.36
  6. Step 6: Final answer
    x = 329.44

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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.