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Finding the Fourth Proportional to 282.41, 389.97 and 267.06

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Solution

The fourth proportional to 282.41, 389.97 and 267.06 is: 368.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.41 : 389.97 = 267.06 : x
  2. Step 2: Convert to fraction form
    282.41/389.97 = 267.06/x
  3. Step 3: Cross multiply
    282.41x = 389.97 × 267.06
  4. Step 4: Simplify right side
    282.41x = 104,145.39
  5. Step 5: Solve for x
    x = 104,145.39/282.41
  6. Step 6: Final answer
    x = 368.78

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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.