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Finding the Fourth Proportional to 243.89, 364.53 and 212.77

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Solution

The fourth proportional to 243.89, 364.53 and 212.77 is: 318.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.89 : 364.53 = 212.77 : x
  2. Step 2: Convert to fraction form
    243.89/364.53 = 212.77/x
  3. Step 3: Cross multiply
    243.89x = 364.53 × 212.77
  4. Step 4: Simplify right side
    243.89x = 77,561.05
  5. Step 5: Solve for x
    x = 77,561.05/243.89
  6. Step 6: Final answer
    x = 318.02

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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.