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Finding the Fourth Proportional to 219.89, 302.97 and 180.41

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Solution

The fourth proportional to 219.89, 302.97 and 180.41 is: 248.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.89 : 302.97 = 180.41 : x
  2. Step 2: Convert to fraction form
    219.89/302.97 = 180.41/x
  3. Step 3: Cross multiply
    219.89x = 302.97 × 180.41
  4. Step 4: Simplify right side
    219.89x = 54,658.82
  5. Step 5: Solve for x
    x = 54,658.82/219.89
  6. Step 6: Final answer
    x = 248.58

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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.