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Finding the Fourth Proportional to 219.24, 302.26 and 179.75

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Solution

The fourth proportional to 219.24, 302.26 and 179.75 is: 247.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.24 : 302.26 = 179.75 : x
  2. Step 2: Convert to fraction form
    219.24/302.26 = 179.75/x
  3. Step 3: Cross multiply
    219.24x = 302.26 × 179.75
  4. Step 4: Simplify right side
    219.24x = 54,329.72
  5. Step 5: Solve for x
    x = 54,329.72/219.24
  6. Step 6: Final answer
    x = 247.82

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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.