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Finding the Fourth Proportional to 245.06, 365.90 and 199.50

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Solution

The fourth proportional to 245.06, 365.90 and 199.50 is: 297.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.06 : 365.90 = 199.50 : x
  2. Step 2: Convert to fraction form
    245.06/365.90 = 199.50/x
  3. Step 3: Cross multiply
    245.06x = 365.90 × 199.50
  4. Step 4: Simplify right side
    245.06x = 72,997.05
  5. Step 5: Solve for x
    x = 72,997.05/245.06
  6. Step 6: Final answer
    x = 297.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.