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Finding the Fourth Proportional to 225.54, 309.47 and 219.42

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Solution

The fourth proportional to 225.54, 309.47 and 219.42 is: 301.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.54 : 309.47 = 219.42 : x
  2. Step 2: Convert to fraction form
    225.54/309.47 = 219.42/x
  3. Step 3: Cross multiply
    225.54x = 309.47 × 219.42
  4. Step 4: Simplify right side
    225.54x = 67,902.81
  5. Step 5: Solve for x
    x = 67,902.81/225.54
  6. Step 6: Final answer
    x = 301.07

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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.