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Finding the Fourth Proportional to 340.94, 470.62 and 236.56

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Solution

The fourth proportional to 340.94, 470.62 and 236.56 is: 326.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.94 : 470.62 = 236.56 : x
  2. Step 2: Convert to fraction form
    340.94/470.62 = 236.56/x
  3. Step 3: Cross multiply
    340.94x = 470.62 × 236.56
  4. Step 4: Simplify right side
    340.94x = 111,329.87
  5. Step 5: Solve for x
    x = 111,329.87/340.94
  6. Step 6: Final answer
    x = 326.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.