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Finding the Fourth Proportional to 211.86, 318.35 and 115.74

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Solution

The fourth proportional to 211.86, 318.35 and 115.74 is: 173.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.86 : 318.35 = 115.74 : x
  2. Step 2: Convert to fraction form
    211.86/318.35 = 115.74/x
  3. Step 3: Cross multiply
    211.86x = 318.35 × 115.74
  4. Step 4: Simplify right side
    211.86x = 36,845.83
  5. Step 5: Solve for x
    x = 36,845.83/211.86
  6. Step 6: Final answer
    x = 173.92

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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.