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Finding the Fourth Proportional to 282.25, 389.73 and 208.68

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Solution

The fourth proportional to 282.25, 389.73 and 208.68 is: 288.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.25 : 389.73 = 208.68 : x
  2. Step 2: Convert to fraction form
    282.25/389.73 = 208.68/x
  3. Step 3: Cross multiply
    282.25x = 389.73 × 208.68
  4. Step 4: Simplify right side
    282.25x = 81,328.86
  5. Step 5: Solve for x
    x = 81,328.86/282.25
  6. Step 6: Final answer
    x = 288.14

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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.