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Finding the Fourth Proportional to 282.98, 390.56 and 204.56

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Solution

The fourth proportional to 282.98, 390.56 and 204.56 is: 282.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.98 : 390.56 = 204.56 : x
  2. Step 2: Convert to fraction form
    282.98/390.56 = 204.56/x
  3. Step 3: Cross multiply
    282.98x = 390.56 × 204.56
  4. Step 4: Simplify right side
    282.98x = 79,891.44
  5. Step 5: Solve for x
    x = 79,891.44/282.98
  6. Step 6: Final answer
    x = 282.32

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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.