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Finding the Fourth Proportional to 225.53, 309.51 and 219.72

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Solution

The fourth proportional to 225.53, 309.51 and 219.72 is: 301.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.53 : 309.51 = 219.72 : x
  2. Step 2: Convert to fraction form
    225.53/309.51 = 219.72/x
  3. Step 3: Cross multiply
    225.53x = 309.51 × 219.72
  4. Step 4: Simplify right side
    225.53x = 68,005.54
  5. Step 5: Solve for x
    x = 68,005.54/225.53
  6. Step 6: Final answer
    x = 301.54

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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.