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Finding the Fourth Proportional to 323.07, 486.33 and 278.41

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Solution

The fourth proportional to 323.07, 486.33 and 278.41 is: 419.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.07 : 486.33 = 278.41 : x
  2. Step 2: Convert to fraction form
    323.07/486.33 = 278.41/x
  3. Step 3: Cross multiply
    323.07x = 486.33 × 278.41
  4. Step 4: Simplify right side
    323.07x = 135,397.74
  5. Step 5: Solve for x
    x = 135,397.74/323.07
  6. Step 6: Final answer
    x = 419.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.