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Finding the Fourth Proportional to 340.79, 470.22 and 193.37

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Solution

The fourth proportional to 340.79, 470.22 and 193.37 is: 266.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.79 : 470.22 = 193.37 : x
  2. Step 2: Convert to fraction form
    340.79/470.22 = 193.37/x
  3. Step 3: Cross multiply
    340.79x = 470.22 × 193.37
  4. Step 4: Simplify right side
    340.79x = 90,924.09
  5. Step 5: Solve for x
    x = 90,924.09/340.79
  6. Step 6: Final answer
    x = 266.81

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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.