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Finding the Fourth Proportional to 245.00, 367.03 and 121.46

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Solution

The fourth proportional to 245.00, 367.03 and 121.46 is: 181.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.00 : 367.03 = 121.46 : x
  2. Step 2: Convert to fraction form
    245.00/367.03 = 121.46/x
  3. Step 3: Cross multiply
    245.00x = 367.03 × 121.46
  4. Step 4: Simplify right side
    245.00x = 44,577.78
  5. Step 5: Solve for x
    x = 44,577.78/245.00
  6. Step 6: Final answer
    x = 181.95

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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.