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Finding the Fourth Proportional to 341.07, 470.78 and 323.65

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Solution

The fourth proportional to 341.07, 470.78 and 323.65 is: 446.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.07 : 470.78 = 323.65 : x
  2. Step 2: Convert to fraction form
    341.07/470.78 = 323.65/x
  3. Step 3: Cross multiply
    341.07x = 470.78 × 323.65
  4. Step 4: Simplify right side
    341.07x = 152,367.95
  5. Step 5: Solve for x
    x = 152,367.95/341.07
  6. Step 6: Final answer
    x = 446.74

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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.