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Finding the Fourth Proportional to 282.17, 389.23 and 234.79

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Solution

The fourth proportional to 282.17, 389.23 and 234.79 is: 323.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.17 : 389.23 = 234.79 : x
  2. Step 2: Convert to fraction form
    282.17/389.23 = 234.79/x
  3. Step 3: Cross multiply
    282.17x = 389.23 × 234.79
  4. Step 4: Simplify right side
    282.17x = 91,385.75
  5. Step 5: Solve for x
    x = 91,385.75/282.17
  6. Step 6: Final answer
    x = 323.86

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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.