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Finding the Fourth Proportional to 214.75, 322.34 and 133.79

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Solution

The fourth proportional to 214.75, 322.34 and 133.79 is: 200.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.75 : 322.34 = 133.79 : x
  2. Step 2: Convert to fraction form
    214.75/322.34 = 133.79/x
  3. Step 3: Cross multiply
    214.75x = 322.34 × 133.79
  4. Step 4: Simplify right side
    214.75x = 43,125.20
  5. Step 5: Solve for x
    x = 43,125.20/214.75
  6. Step 6: Final answer
    x = 200.82

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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.