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Finding the Fourth Proportional to 211.80, 318.93 and 163.80

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Solution

The fourth proportional to 211.80, 318.93 and 163.80 is: 246.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.80 : 318.93 = 163.80 : x
  2. Step 2: Convert to fraction form
    211.80/318.93 = 163.80/x
  3. Step 3: Cross multiply
    211.80x = 318.93 × 163.80
  4. Step 4: Simplify right side
    211.80x = 52,240.73
  5. Step 5: Solve for x
    x = 52,240.73/211.80
  6. Step 6: Final answer
    x = 246.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.