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Finding the Fourth Proportional to 282.40, 389.52 and 199.68

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Solution

The fourth proportional to 282.40, 389.52 and 199.68 is: 275.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.40 : 389.52 = 199.68 : x
  2. Step 2: Convert to fraction form
    282.40/389.52 = 199.68/x
  3. Step 3: Cross multiply
    282.40x = 389.52 × 199.68
  4. Step 4: Simplify right side
    282.40x = 77,779.35
  5. Step 5: Solve for x
    x = 77,779.35/282.40
  6. Step 6: Final answer
    x = 275.42

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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.