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Finding the Fourth Proportional to 245.36, 365.91 and 209.03

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Solution

The fourth proportional to 245.36, 365.91 and 209.03 is: 311.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.36 : 365.91 = 209.03 : x
  2. Step 2: Convert to fraction form
    245.36/365.91 = 209.03/x
  3. Step 3: Cross multiply
    245.36x = 365.91 × 209.03
  4. Step 4: Simplify right side
    245.36x = 76,484.34
  5. Step 5: Solve for x
    x = 76,484.34/245.36
  6. Step 6: Final answer
    x = 311.73

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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.