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Finding the Fourth Proportional to 243.67, 363.69 and 212.89

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Solution

The fourth proportional to 243.67, 363.69 and 212.89 is: 317.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.67 : 363.69 = 212.89 : x
  2. Step 2: Convert to fraction form
    243.67/363.69 = 212.89/x
  3. Step 3: Cross multiply
    243.67x = 363.69 × 212.89
  4. Step 4: Simplify right side
    243.67x = 77,425.96
  5. Step 5: Solve for x
    x = 77,425.96/243.67
  6. Step 6: Final answer
    x = 317.75

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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.