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Finding the Fourth Proportional to 323.68, 485.68 and 186.40

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Solution

The fourth proportional to 323.68, 485.68 and 186.40 is: 279.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.68 : 485.68 = 186.40 : x
  2. Step 2: Convert to fraction form
    323.68/485.68 = 186.40/x
  3. Step 3: Cross multiply
    323.68x = 485.68 × 186.40
  4. Step 4: Simplify right side
    323.68x = 90,530.75
  5. Step 5: Solve for x
    x = 90,530.75/323.68
  6. Step 6: Final answer
    x = 279.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.