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Finding the Fourth Proportional to 214.74, 322.27 and 211.54

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Solution

The fourth proportional to 214.74, 322.27 and 211.54 is: 317.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.74 : 322.27 = 211.54 : x
  2. Step 2: Convert to fraction form
    214.74/322.27 = 211.54/x
  3. Step 3: Cross multiply
    214.74x = 322.27 × 211.54
  4. Step 4: Simplify right side
    214.74x = 68,173.00
  5. Step 5: Solve for x
    x = 68,173.00/214.74
  6. Step 6: Final answer
    x = 317.47

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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.