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Finding the Fourth Proportional to 730.39, 1,095.74 and 236.79

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Solution

The fourth proportional to 730.39, 1,095.74 and 236.79 is: 355.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.39 : 1,095.74 = 236.79 : x
  2. Step 2: Convert to fraction form
    730.39/1,095.74 = 236.79/x
  3. Step 3: Cross multiply
    730.39x = 1,095.74 × 236.79
  4. Step 4: Simplify right side
    730.39x = 259,459.09
  5. Step 5: Solve for x
    x = 259,459.09/730.39
  6. Step 6: Final answer
    x = 355.24

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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.