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Finding the Fourth Proportional to 355.34, 490.32 and 200.06

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Solution

The fourth proportional to 355.34, 490.32 and 200.06 is: 276.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.34 : 490.32 = 200.06 : x
  2. Step 2: Convert to fraction form
    355.34/490.32 = 200.06/x
  3. Step 3: Cross multiply
    355.34x = 490.32 × 200.06
  4. Step 4: Simplify right side
    355.34x = 98,093.89
  5. Step 5: Solve for x
    x = 98,093.89/355.34
  6. Step 6: Final answer
    x = 276.05

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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.