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Finding the Fourth Proportional to 282.02, 389.09 and 165.56

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Solution

The fourth proportional to 282.02, 389.09 and 165.56 is: 228.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.02 : 389.09 = 165.56 : x
  2. Step 2: Convert to fraction form
    282.02/389.09 = 165.56/x
  3. Step 3: Cross multiply
    282.02x = 389.09 × 165.56
  4. Step 4: Simplify right side
    282.02x = 64,416.91
  5. Step 5: Solve for x
    x = 64,416.91/282.02
  6. Step 6: Final answer
    x = 228.41

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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.