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Finding the Fourth Proportional to 211.44, 318.24 and 194.40

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Solution

The fourth proportional to 211.44, 318.24 and 194.40 is: 292.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.44 : 318.24 = 194.40 : x
  2. Step 2: Convert to fraction form
    211.44/318.24 = 194.40/x
  3. Step 3: Cross multiply
    211.44x = 318.24 × 194.40
  4. Step 4: Simplify right side
    211.44x = 61,865.86
  5. Step 5: Solve for x
    x = 61,865.86/211.44
  6. Step 6: Final answer
    x = 292.59

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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.