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Finding the Fourth Proportional to 243.25, 366.35 and 214.72

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Solution

The fourth proportional to 243.25, 366.35 and 214.72 is: 323.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.25 : 366.35 = 214.72 : x
  2. Step 2: Convert to fraction form
    243.25/366.35 = 214.72/x
  3. Step 3: Cross multiply
    243.25x = 366.35 × 214.72
  4. Step 4: Simplify right side
    243.25x = 78,660.68
  5. Step 5: Solve for x
    x = 78,660.68/243.25
  6. Step 6: Final answer
    x = 323.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.