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Finding the Fourth Proportional to 225.75, 336.69 and 210.36

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Solution

The fourth proportional to 225.75, 336.69 and 210.36 is: 313.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.75 : 336.69 = 210.36 : x
  2. Step 2: Convert to fraction form
    225.75/336.69 = 210.36/x
  3. Step 3: Cross multiply
    225.75x = 336.69 × 210.36
  4. Step 4: Simplify right side
    225.75x = 70,826.11
  5. Step 5: Solve for x
    x = 70,826.11/225.75
  6. Step 6: Final answer
    x = 313.74

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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.