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Finding the Fourth Proportional to 214.99, 322.73 and 133.88

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Solution

The fourth proportional to 214.99, 322.73 and 133.88 is: 200.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.99 : 322.73 = 133.88 : x
  2. Step 2: Convert to fraction form
    214.99/322.73 = 133.88/x
  3. Step 3: Cross multiply
    214.99x = 322.73 × 133.88
  4. Step 4: Simplify right side
    214.99x = 43,205.31
  5. Step 5: Solve for x
    x = 43,205.31/214.99
  6. Step 6: Final answer
    x = 200.97

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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.