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Finding the Fourth Proportional to 456.46, 685.06 and 182.75

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Solution

The fourth proportional to 456.46, 685.06 and 182.75 is: 274.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.46 : 685.06 = 182.75 : x
  2. Step 2: Convert to fraction form
    456.46/685.06 = 182.75/x
  3. Step 3: Cross multiply
    456.46x = 685.06 × 182.75
  4. Step 4: Simplify right side
    456.46x = 125,190.83
  5. Step 5: Solve for x
    x = 125,190.83/456.46
  6. Step 6: Final answer
    x = 274.27

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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.