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Finding the Fourth Proportional to 214.81, 322.26 and 137.74

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Solution

The fourth proportional to 214.81, 322.26 and 137.74 is: 206.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.81 : 322.26 = 137.74 : x
  2. Step 2: Convert to fraction form
    214.81/322.26 = 137.74/x
  3. Step 3: Cross multiply
    214.81x = 322.26 × 137.74
  4. Step 4: Simplify right side
    214.81x = 44,388.09
  5. Step 5: Solve for x
    x = 44,388.09/214.81
  6. Step 6: Final answer
    x = 206.64

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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.