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Finding the Fourth Proportional to 243.82, 364.01 and 214.43

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Solution

The fourth proportional to 243.82, 364.01 and 214.43 is: 320.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.82 : 364.01 = 214.43 : x
  2. Step 2: Convert to fraction form
    243.82/364.01 = 214.43/x
  3. Step 3: Cross multiply
    243.82x = 364.01 × 214.43
  4. Step 4: Simplify right side
    243.82x = 78,052.84
  5. Step 5: Solve for x
    x = 78,052.84/243.82
  6. Step 6: Final answer
    x = 320.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.