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Finding the Fourth Proportional to 456.84, 685.32 and 225.69

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Solution

The fourth proportional to 456.84, 685.32 and 225.69 is: 338.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.84 : 685.32 = 225.69 : x
  2. Step 2: Convert to fraction form
    456.84/685.32 = 225.69/x
  3. Step 3: Cross multiply
    456.84x = 685.32 × 225.69
  4. Step 4: Simplify right side
    456.84x = 154,669.87
  5. Step 5: Solve for x
    x = 154,669.87/456.84
  6. Step 6: Final answer
    x = 338.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.