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Finding the Fourth Proportional to 225.99, 309.89 and 225.45

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Solution

The fourth proportional to 225.99, 309.89 and 225.45 is: 309.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.99 : 309.89 = 225.45 : x
  2. Step 2: Convert to fraction form
    225.99/309.89 = 225.45/x
  3. Step 3: Cross multiply
    225.99x = 309.89 × 225.45
  4. Step 4: Simplify right side
    225.99x = 69,865.26
  5. Step 5: Solve for x
    x = 69,865.26/225.99
  6. Step 6: Final answer
    x = 309.15

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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.