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Finding the Fourth Proportional to 283.36, 390 and 274.40

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Solution

The fourth proportional to 283.36, 390 and 274.40 is: 377.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.36 : 390 = 274.40 : x
  2. Step 2: Convert to fraction form
    283.36/390 = 274.40/x
  3. Step 3: Cross multiply
    283.36x = 390 × 274.40
  4. Step 4: Simplify right side
    283.36x = 107,016.00
  5. Step 5: Solve for x
    x = 107,016.00/283.36
  6. Step 6: Final answer
    x = 377.67

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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.