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Finding the Fourth Proportional to 214.44, 319.08 and 213.72

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Solution

The fourth proportional to 214.44, 319.08 and 213.72 is: 318.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.44 : 319.08 = 213.72 : x
  2. Step 2: Convert to fraction form
    214.44/319.08 = 213.72/x
  3. Step 3: Cross multiply
    214.44x = 319.08 × 213.72
  4. Step 4: Simplify right side
    214.44x = 68,193.78
  5. Step 5: Solve for x
    x = 68,193.78/214.44
  6. Step 6: Final answer
    x = 318.01

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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.