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Finding the Fourth Proportional to 283.70, 391.18 and 208.67

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Solution

The fourth proportional to 283.70, 391.18 and 208.67 is: 287.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.70 : 391.18 = 208.67 : x
  2. Step 2: Convert to fraction form
    283.70/391.18 = 208.67/x
  3. Step 3: Cross multiply
    283.70x = 391.18 × 208.67
  4. Step 4: Simplify right side
    283.70x = 81,627.53
  5. Step 5: Solve for x
    x = 81,627.53/283.70
  6. Step 6: Final answer
    x = 287.72

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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.