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Finding the Fourth Proportional to 214.61, 319.73 and 211.86

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Solution

The fourth proportional to 214.61, 319.73 and 211.86 is: 315.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.61 : 319.73 = 211.86 : x
  2. Step 2: Convert to fraction form
    214.61/319.73 = 211.86/x
  3. Step 3: Cross multiply
    214.61x = 319.73 × 211.86
  4. Step 4: Simplify right side
    214.61x = 67,736.94
  5. Step 5: Solve for x
    x = 67,736.94/214.61
  6. Step 6: Final answer
    x = 315.64

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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.