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Finding the Fourth Proportional to 282.18, 422.43 and 205.14

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Solution

The fourth proportional to 282.18, 422.43 and 205.14 is: 307.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.18 : 422.43 = 205.14 : x
  2. Step 2: Convert to fraction form
    282.18/422.43 = 205.14/x
  3. Step 3: Cross multiply
    282.18x = 422.43 × 205.14
  4. Step 4: Simplify right side
    282.18x = 86,657.29
  5. Step 5: Solve for x
    x = 86,657.29/282.18
  6. Step 6: Final answer
    x = 307.10

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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.