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Finding the Fourth Proportional to 367.57, 506.94 and 312.49

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Solution

The fourth proportional to 367.57, 506.94 and 312.49 is: 430.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.57 : 506.94 = 312.49 : x
  2. Step 2: Convert to fraction form
    367.57/506.94 = 312.49/x
  3. Step 3: Cross multiply
    367.57x = 506.94 × 312.49
  4. Step 4: Simplify right side
    367.57x = 158,413.68
  5. Step 5: Solve for x
    x = 158,413.68/367.57
  6. Step 6: Final answer
    x = 430.98

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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.