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Finding the Fourth Proportional to 282.84, 389.91 and 208.02

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Solution

The fourth proportional to 282.84, 389.91 and 208.02 is: 286.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.84 : 389.91 = 208.02 : x
  2. Step 2: Convert to fraction form
    282.84/389.91 = 208.02/x
  3. Step 3: Cross multiply
    282.84x = 389.91 × 208.02
  4. Step 4: Simplify right side
    282.84x = 81,107.13
  5. Step 5: Solve for x
    x = 81,107.13/282.84
  6. Step 6: Final answer
    x = 286.76

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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.