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Finding the Fourth Proportional to 283.73, 427.55 and 236.03

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Solution

The fourth proportional to 283.73, 427.55 and 236.03 is: 355.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.73 : 427.55 = 236.03 : x
  2. Step 2: Convert to fraction form
    283.73/427.55 = 236.03/x
  3. Step 3: Cross multiply
    283.73x = 427.55 × 236.03
  4. Step 4: Simplify right side
    283.73x = 100,911.31
  5. Step 5: Solve for x
    x = 100,911.31/283.73
  6. Step 6: Final answer
    x = 355.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.