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Finding the Fourth Proportional to 354.14, 488.74 and 206.82

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Solution

The fourth proportional to 354.14, 488.74 and 206.82 is: 285.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.14 : 488.74 = 206.82 : x
  2. Step 2: Convert to fraction form
    354.14/488.74 = 206.82/x
  3. Step 3: Cross multiply
    354.14x = 488.74 × 206.82
  4. Step 4: Simplify right side
    354.14x = 101,081.21
  5. Step 5: Solve for x
    x = 101,081.21/354.14
  6. Step 6: Final answer
    x = 285.43

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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.