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Finding the Fourth Proportional to 282.07, 422.70 and 184.47

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Solution

The fourth proportional to 282.07, 422.70 and 184.47 is: 276.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.07 : 422.70 = 184.47 : x
  2. Step 2: Convert to fraction form
    282.07/422.70 = 184.47/x
  3. Step 3: Cross multiply
    282.07x = 422.70 × 184.47
  4. Step 4: Simplify right side
    282.07x = 77,975.47
  5. Step 5: Solve for x
    x = 77,975.47/282.07
  6. Step 6: Final answer
    x = 276.44

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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.