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Finding the Fourth Proportional to 282.24, 389.40 and 165.78

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Solution

The fourth proportional to 282.24, 389.40 and 165.78 is: 228.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.24 : 389.40 = 165.78 : x
  2. Step 2: Convert to fraction form
    282.24/389.40 = 165.78/x
  3. Step 3: Cross multiply
    282.24x = 389.40 × 165.78
  4. Step 4: Simplify right side
    282.24x = 64,554.73
  5. Step 5: Solve for x
    x = 64,554.73/282.24
  6. Step 6: Final answer
    x = 228.72

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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.