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Finding the Fourth Proportional to 283.55, 391.27 and 159.19

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Solution

The fourth proportional to 283.55, 391.27 and 159.19 is: 219.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.55 : 391.27 = 159.19 : x
  2. Step 2: Convert to fraction form
    283.55/391.27 = 159.19/x
  3. Step 3: Cross multiply
    283.55x = 391.27 × 159.19
  4. Step 4: Simplify right side
    283.55x = 62,286.27
  5. Step 5: Solve for x
    x = 62,286.27/283.55
  6. Step 6: Final answer
    x = 219.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.