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Finding the Fourth Proportional to 220.82, 304.61 and 185.90

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Solution

The fourth proportional to 220.82, 304.61 and 185.90 is: 256.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.82 : 304.61 = 185.90 : x
  2. Step 2: Convert to fraction form
    220.82/304.61 = 185.90/x
  3. Step 3: Cross multiply
    220.82x = 304.61 × 185.90
  4. Step 4: Simplify right side
    220.82x = 56,624.55
  5. Step 5: Solve for x
    x = 56,624.55/220.82
  6. Step 6: Final answer
    x = 256.43

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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.