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Finding the Fourth Proportional to 282.37, 389.45 and 178.69

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Solution

The fourth proportional to 282.37, 389.45 and 178.69 is: 246.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.37 : 389.45 = 178.69 : x
  2. Step 2: Convert to fraction form
    282.37/389.45 = 178.69/x
  3. Step 3: Cross multiply
    282.37x = 389.45 × 178.69
  4. Step 4: Simplify right side
    282.37x = 69,589.93
  5. Step 5: Solve for x
    x = 69,589.93/282.37
  6. Step 6: Final answer
    x = 246.45

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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.