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Finding the Fourth Proportional to 214.53, 323.51 and 211.64

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Solution

The fourth proportional to 214.53, 323.51 and 211.64 is: 319.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.53 : 323.51 = 211.64 : x
  2. Step 2: Convert to fraction form
    214.53/323.51 = 211.64/x
  3. Step 3: Cross multiply
    214.53x = 323.51 × 211.64
  4. Step 4: Simplify right side
    214.53x = 68,467.66
  5. Step 5: Solve for x
    x = 68,467.66/214.53
  6. Step 6: Final answer
    x = 319.15

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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.