Home / 730.24-1,095.36-182.44

Finding the Fourth Proportional to 730.24, 1,095.36 and 182.44

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Solution

The fourth proportional to 730.24, 1,095.36 and 182.44 is: 273.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.24 : 1,095.36 = 182.44 : x
  2. Step 2: Convert to fraction form
    730.24/1,095.36 = 182.44/x
  3. Step 3: Cross multiply
    730.24x = 1,095.36 × 182.44
  4. Step 4: Simplify right side
    730.24x = 199,837.48
  5. Step 5: Solve for x
    x = 199,837.48/730.24
  6. Step 6: Final answer
    x = 273.66

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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.