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Finding the Fourth Proportional to 282.93, 422.74 and 228.25

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Solution

The fourth proportional to 282.93, 422.74 and 228.25 is: 341.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.93 : 422.74 = 228.25 : x
  2. Step 2: Convert to fraction form
    282.93/422.74 = 228.25/x
  3. Step 3: Cross multiply
    282.93x = 422.74 × 228.25
  4. Step 4: Simplify right side
    282.93x = 96,489.93
  5. Step 5: Solve for x
    x = 96,489.93/282.93
  6. Step 6: Final answer
    x = 341.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.