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Finding the Fourth Proportional to 220.65, 304.40 and 137.81

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Solution

The fourth proportional to 220.65, 304.40 and 137.81 is: 190.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.65 : 304.40 = 137.81 : x
  2. Step 2: Convert to fraction form
    220.65/304.40 = 137.81/x
  3. Step 3: Cross multiply
    220.65x = 304.40 × 137.81
  4. Step 4: Simplify right side
    220.65x = 41,948.95
  5. Step 5: Solve for x
    x = 41,948.95/220.65
  6. Step 6: Final answer
    x = 190.12

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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.