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Finding the Fourth Proportional to 225.45, 312.54 and 213.13

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Solution

The fourth proportional to 225.45, 312.54 and 213.13 is: 295.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.45 : 312.54 = 213.13 : x
  2. Step 2: Convert to fraction form
    225.45/312.54 = 213.13/x
  3. Step 3: Cross multiply
    225.45x = 312.54 × 213.13
  4. Step 4: Simplify right side
    225.45x = 66,612.44
  5. Step 5: Solve for x
    x = 66,612.44/225.45
  6. Step 6: Final answer
    x = 295.46

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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.