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Finding the Fourth Proportional to 245.16, 367.11 and 190.08

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Solution

The fourth proportional to 245.16, 367.11 and 190.08 is: 284.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.16 : 367.11 = 190.08 : x
  2. Step 2: Convert to fraction form
    245.16/367.11 = 190.08/x
  3. Step 3: Cross multiply
    245.16x = 367.11 × 190.08
  4. Step 4: Simplify right side
    245.16x = 69,780.27
  5. Step 5: Solve for x
    x = 69,780.27/245.16
  6. Step 6: Final answer
    x = 284.63

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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.