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Finding the Fourth Proportional to 288.09, 395.84 and 235.51

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Solution

The fourth proportional to 288.09, 395.84 and 235.51 is: 323.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.09 : 395.84 = 235.51 : x
  2. Step 2: Convert to fraction form
    288.09/395.84 = 235.51/x
  3. Step 3: Cross multiply
    288.09x = 395.84 × 235.51
  4. Step 4: Simplify right side
    288.09x = 93,224.28
  5. Step 5: Solve for x
    x = 93,224.28/288.09
  6. Step 6: Final answer
    x = 323.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.