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Finding the Fourth Proportional to 456.51, 684.25 and 182.53

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Solution

The fourth proportional to 456.51, 684.25 and 182.53 is: 273.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.51 : 684.25 = 182.53 : x
  2. Step 2: Convert to fraction form
    456.51/684.25 = 182.53/x
  3. Step 3: Cross multiply
    456.51x = 684.25 × 182.53
  4. Step 4: Simplify right side
    456.51x = 124,896.15
  5. Step 5: Solve for x
    x = 124,896.15/456.51
  6. Step 6: Final answer
    x = 273.59

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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.