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Finding the Fourth Proportional to 282.50, 390.09 and 179.18

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Solution

The fourth proportional to 282.50, 390.09 and 179.18 is: 247.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.50 : 390.09 = 179.18 : x
  2. Step 2: Convert to fraction form
    282.50/390.09 = 179.18/x
  3. Step 3: Cross multiply
    282.50x = 390.09 × 179.18
  4. Step 4: Simplify right side
    282.50x = 69,896.33
  5. Step 5: Solve for x
    x = 69,896.33/282.50
  6. Step 6: Final answer
    x = 247.42

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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.