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Finding the Fourth Proportional to 220.37, 304.04 and 137.41

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Solution

The fourth proportional to 220.37, 304.04 and 137.41 is: 189.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.37 : 304.04 = 137.41 : x
  2. Step 2: Convert to fraction form
    220.37/304.04 = 137.41/x
  3. Step 3: Cross multiply
    220.37x = 304.04 × 137.41
  4. Step 4: Simplify right side
    220.37x = 41,777.83
  5. Step 5: Solve for x
    x = 41,777.83/220.37
  6. Step 6: Final answer
    x = 189.58

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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.