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Finding the Fourth Proportional to 654.97, 981.82 and 243.99

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Solution

The fourth proportional to 654.97, 981.82 and 243.99 is: 365.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.97 : 981.82 = 243.99 : x
  2. Step 2: Convert to fraction form
    654.97/981.82 = 243.99/x
  3. Step 3: Cross multiply
    654.97x = 981.82 × 243.99
  4. Step 4: Simplify right side
    654.97x = 239,554.26
  5. Step 5: Solve for x
    x = 239,554.26/654.97
  6. Step 6: Final answer
    x = 365.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.