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Finding the Fourth Proportional to 282.21, 389.40 and 165.75

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Solution

The fourth proportional to 282.21, 389.40 and 165.75 is: 228.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.21 : 389.40 = 165.75 : x
  2. Step 2: Convert to fraction form
    282.21/389.40 = 165.75/x
  3. Step 3: Cross multiply
    282.21x = 389.40 × 165.75
  4. Step 4: Simplify right side
    282.21x = 64,543.05
  5. Step 5: Solve for x
    x = 64,543.05/282.21
  6. Step 6: Final answer
    x = 228.71

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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.