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Finding the Fourth Proportional to 323.81, 487.46 and 279.17

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Solution

The fourth proportional to 323.81, 487.46 and 279.17 is: 420.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.81 : 487.46 = 279.17 : x
  2. Step 2: Convert to fraction form
    323.81/487.46 = 279.17/x
  3. Step 3: Cross multiply
    323.81x = 487.46 × 279.17
  4. Step 4: Simplify right side
    323.81x = 136,084.21
  5. Step 5: Solve for x
    x = 136,084.21/323.81
  6. Step 6: Final answer
    x = 420.26

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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.