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Finding the Fourth Proportional to 225.07, 335.78 and 208.53

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Solution

The fourth proportional to 225.07, 335.78 and 208.53 is: 311.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.07 : 335.78 = 208.53 : x
  2. Step 2: Convert to fraction form
    225.07/335.78 = 208.53/x
  3. Step 3: Cross multiply
    225.07x = 335.78 × 208.53
  4. Step 4: Simplify right side
    225.07x = 70,019.94
  5. Step 5: Solve for x
    x = 70,019.94/225.07
  6. Step 6: Final answer
    x = 311.11

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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.