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Finding the Fourth Proportional to 484.38, 667.71 and 366.39

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Solution

The fourth proportional to 484.38, 667.71 and 366.39 is: 505.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.38 : 667.71 = 366.39 : x
  2. Step 2: Convert to fraction form
    484.38/667.71 = 366.39/x
  3. Step 3: Cross multiply
    484.38x = 667.71 × 366.39
  4. Step 4: Simplify right side
    484.38x = 244,642.27
  5. Step 5: Solve for x
    x = 244,642.27/484.38
  6. Step 6: Final answer
    x = 505.06

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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.