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Finding the Fourth Proportional to 225.84, 336.72 and 218.88

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Solution

The fourth proportional to 225.84, 336.72 and 218.88 is: 326.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.84 : 336.72 = 218.88 : x
  2. Step 2: Convert to fraction form
    225.84/336.72 = 218.88/x
  3. Step 3: Cross multiply
    225.84x = 336.72 × 218.88
  4. Step 4: Simplify right side
    225.84x = 73,701.27
  5. Step 5: Solve for x
    x = 73,701.27/225.84
  6. Step 6: Final answer
    x = 326.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.