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Finding the Fourth Proportional to 282.31, 423.10 and 204.49

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Solution

The fourth proportional to 282.31, 423.10 and 204.49 is: 306.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.31 : 423.10 = 204.49 : x
  2. Step 2: Convert to fraction form
    282.31/423.10 = 204.49/x
  3. Step 3: Cross multiply
    282.31x = 423.10 × 204.49
  4. Step 4: Simplify right side
    282.31x = 86,516.58
  5. Step 5: Solve for x
    x = 86,516.58/282.31
  6. Step 6: Final answer
    x = 306.46

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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.