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Finding the Fourth Proportional to 282.61, 389.46 and 229.96

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Solution

The fourth proportional to 282.61, 389.46 and 229.96 is: 316.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.61 : 389.46 = 229.96 : x
  2. Step 2: Convert to fraction form
    282.61/389.46 = 229.96/x
  3. Step 3: Cross multiply
    282.61x = 389.46 × 229.96
  4. Step 4: Simplify right side
    282.61x = 89,560.22
  5. Step 5: Solve for x
    x = 89,560.22/282.61
  6. Step 6: Final answer
    x = 316.90

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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.