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Finding the Fourth Proportional to 366.93, 506.66 and 311.04

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Solution

The fourth proportional to 366.93, 506.66 and 311.04 is: 429.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.93 : 506.66 = 311.04 : x
  2. Step 2: Convert to fraction form
    366.93/506.66 = 311.04/x
  3. Step 3: Cross multiply
    366.93x = 506.66 × 311.04
  4. Step 4: Simplify right side
    366.93x = 157,589.97
  5. Step 5: Solve for x
    x = 157,589.97/366.93
  6. Step 6: Final answer
    x = 429.48

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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.