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Finding the Fourth Proportional to 245.45, 369.83 and 203.06

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Solution

The fourth proportional to 245.45, 369.83 and 203.06 is: 305.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.45 : 369.83 = 203.06 : x
  2. Step 2: Convert to fraction form
    245.45/369.83 = 203.06/x
  3. Step 3: Cross multiply
    245.45x = 369.83 × 203.06
  4. Step 4: Simplify right side
    245.45x = 75,096.34
  5. Step 5: Solve for x
    x = 75,096.34/245.45
  6. Step 6: Final answer
    x = 305.96

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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.