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Finding the Fourth Proportional to 339.67, 468.74 and 208.67

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Solution

The fourth proportional to 339.67, 468.74 and 208.67 is: 287.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.67 : 468.74 = 208.67 : x
  2. Step 2: Convert to fraction form
    339.67/468.74 = 208.67/x
  3. Step 3: Cross multiply
    339.67x = 468.74 × 208.67
  4. Step 4: Simplify right side
    339.67x = 97,813.67
  5. Step 5: Solve for x
    x = 97,813.67/339.67
  6. Step 6: Final answer
    x = 287.97

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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.