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Finding the Fourth Proportional to 213.70, 318.69 and 186.43

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Solution

The fourth proportional to 213.70, 318.69 and 186.43 is: 278.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.70 : 318.69 = 186.43 : x
  2. Step 2: Convert to fraction form
    213.70/318.69 = 186.43/x
  3. Step 3: Cross multiply
    213.70x = 318.69 × 186.43
  4. Step 4: Simplify right side
    213.70x = 59,413.38
  5. Step 5: Solve for x
    x = 59,413.38/213.70
  6. Step 6: Final answer
    x = 278.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.