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Finding the Fourth Proportional to 211.78, 318.44 and 194.86

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Solution

The fourth proportional to 211.78, 318.44 and 194.86 is: 293.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.78 : 318.44 = 194.86 : x
  2. Step 2: Convert to fraction form
    211.78/318.44 = 194.86/x
  3. Step 3: Cross multiply
    211.78x = 318.44 × 194.86
  4. Step 4: Simplify right side
    211.78x = 62,053.00
  5. Step 5: Solve for x
    x = 62,053.00/211.78
  6. Step 6: Final answer
    x = 293.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.