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Finding the Fourth Proportional to 243.41, 363.34 and 214.22

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Solution

The fourth proportional to 243.41, 363.34 and 214.22 is: 319.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.41 : 363.34 = 214.22 : x
  2. Step 2: Convert to fraction form
    243.41/363.34 = 214.22/x
  3. Step 3: Cross multiply
    243.41x = 363.34 × 214.22
  4. Step 4: Simplify right side
    243.41x = 77,835.45
  5. Step 5: Solve for x
    x = 77,835.45/243.41
  6. Step 6: Final answer
    x = 319.77

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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.