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Finding the Fourth Proportional to 245.75, 337.31 and 217.49

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Solution

The fourth proportional to 245.75, 337.31 and 217.49 is: 298.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.75 : 337.31 = 217.49 : x
  2. Step 2: Convert to fraction form
    245.75/337.31 = 217.49/x
  3. Step 3: Cross multiply
    245.75x = 337.31 × 217.49
  4. Step 4: Simplify right side
    245.75x = 73,362.94
  5. Step 5: Solve for x
    x = 73,362.94/245.75
  6. Step 6: Final answer
    x = 298.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.