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Finding the Fourth Proportional to 340.76, 470.19 and 323.46

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Solution

The fourth proportional to 340.76, 470.19 and 323.46 is: 446.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.76 : 470.19 = 323.46 : x
  2. Step 2: Convert to fraction form
    340.76/470.19 = 323.46/x
  3. Step 3: Cross multiply
    340.76x = 470.19 × 323.46
  4. Step 4: Simplify right side
    340.76x = 152,087.05
  5. Step 5: Solve for x
    x = 152,087.05/340.76
  6. Step 6: Final answer
    x = 446.32

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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.