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Finding the Fourth Proportional to 245.44, 365.91 and 217.90

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Solution

The fourth proportional to 245.44, 365.91 and 217.90 is: 324.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.44 : 365.91 = 217.90 : x
  2. Step 2: Convert to fraction form
    245.44/365.91 = 217.90/x
  3. Step 3: Cross multiply
    245.44x = 365.91 × 217.90
  4. Step 4: Simplify right side
    245.44x = 79,731.79
  5. Step 5: Solve for x
    x = 79,731.79/245.44
  6. Step 6: Final answer
    x = 324.85

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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.