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Finding the Fourth Proportional to 243.97, 364.21 and 210.94

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Solution

The fourth proportional to 243.97, 364.21 and 210.94 is: 314.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.97 : 364.21 = 210.94 : x
  2. Step 2: Convert to fraction form
    243.97/364.21 = 210.94/x
  3. Step 3: Cross multiply
    243.97x = 364.21 × 210.94
  4. Step 4: Simplify right side
    243.97x = 76,825.02
  5. Step 5: Solve for x
    x = 76,825.02/243.97
  6. Step 6: Final answer
    x = 314.90

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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.