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Finding the Fourth Proportional to 282.96, 389.46 and 245.94

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Solution

The fourth proportional to 282.96, 389.46 and 245.94 is: 338.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.96 : 389.46 = 245.94 : x
  2. Step 2: Convert to fraction form
    282.96/389.46 = 245.94/x
  3. Step 3: Cross multiply
    282.96x = 389.46 × 245.94
  4. Step 4: Simplify right side
    282.96x = 95,783.79
  5. Step 5: Solve for x
    x = 95,783.79/282.96
  6. Step 6: Final answer
    x = 338.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.