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Finding the Fourth Proportional to 297.25, 410.18 and 179.30

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Solution

The fourth proportional to 297.25, 410.18 and 179.30 is: 247.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.25 : 410.18 = 179.30 : x
  2. Step 2: Convert to fraction form
    297.25/410.18 = 179.30/x
  3. Step 3: Cross multiply
    297.25x = 410.18 × 179.30
  4. Step 4: Simplify right side
    297.25x = 73,544.10
  5. Step 5: Solve for x
    x = 73,544.10/297.25
  6. Step 6: Final answer
    x = 247.41

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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.