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Finding the Fourth Proportional to 243, 364.20 and 134.56

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Solution

The fourth proportional to 243, 364.20 and 134.56 is: 201.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    243 : 364.20 = 134.56 : x
  2. Step 2: Convert to fraction form
    243/364.20 = 134.56/x
  3. Step 3: Cross multiply
    243x = 364.20 × 134.56
  4. Step 4: Simplify right side
    243x = 49,006.75
  5. Step 5: Solve for x
    x = 49,006.75/243
  6. Step 6: Final answer
    x = 201.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.