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Finding the Fourth Proportional to 225.85, 313.27 and 218.08

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Solution

The fourth proportional to 225.85, 313.27 and 218.08 is: 302.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.85 : 313.27 = 218.08 : x
  2. Step 2: Convert to fraction form
    225.85/313.27 = 218.08/x
  3. Step 3: Cross multiply
    225.85x = 313.27 × 218.08
  4. Step 4: Simplify right side
    225.85x = 68,317.92
  5. Step 5: Solve for x
    x = 68,317.92/225.85
  6. Step 6: Final answer
    x = 302.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.