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Finding the Fourth Proportional to 355.98, 491.39 and 208.67

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Solution

The fourth proportional to 355.98, 491.39 and 208.67 is: 288.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.98 : 491.39 = 208.67 : x
  2. Step 2: Convert to fraction form
    355.98/491.39 = 208.67/x
  3. Step 3: Cross multiply
    355.98x = 491.39 × 208.67
  4. Step 4: Simplify right side
    355.98x = 102,535.63
  5. Step 5: Solve for x
    x = 102,535.63/355.98
  6. Step 6: Final answer
    x = 288.03

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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.