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Finding the Fourth Proportional to 340.83, 470.33 and 193.46

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Solution

The fourth proportional to 340.83, 470.33 and 193.46 is: 266.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.83 : 470.33 = 193.46 : x
  2. Step 2: Convert to fraction form
    340.83/470.33 = 193.46/x
  3. Step 3: Cross multiply
    340.83x = 470.33 × 193.46
  4. Step 4: Simplify right side
    340.83x = 90,986.72
  5. Step 5: Solve for x
    x = 90,986.72/340.83
  6. Step 6: Final answer
    x = 266.96

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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.