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Finding the Fourth Proportional to 245.02, 365.78 and 223.96

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Solution

The fourth proportional to 245.02, 365.78 and 223.96 is: 334.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.02 : 365.78 = 223.96 : x
  2. Step 2: Convert to fraction form
    245.02/365.78 = 223.96/x
  3. Step 3: Cross multiply
    245.02x = 365.78 × 223.96
  4. Step 4: Simplify right side
    245.02x = 81,920.09
  5. Step 5: Solve for x
    x = 81,920.09/245.02
  6. Step 6: Final answer
    x = 334.34

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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.