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Finding the Fourth Proportional to 282.63, 389.94 and 177.82

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Solution

The fourth proportional to 282.63, 389.94 and 177.82 is: 245.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.63 : 389.94 = 177.82 : x
  2. Step 2: Convert to fraction form
    282.63/389.94 = 177.82/x
  3. Step 3: Cross multiply
    282.63x = 389.94 × 177.82
  4. Step 4: Simplify right side
    282.63x = 69,340.55
  5. Step 5: Solve for x
    x = 69,340.55/282.63
  6. Step 6: Final answer
    x = 245.34

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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.