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Finding the Fourth Proportional to 220.35, 304.14 and 141.72

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Solution

The fourth proportional to 220.35, 304.14 and 141.72 is: 195.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.35 : 304.14 = 141.72 : x
  2. Step 2: Convert to fraction form
    220.35/304.14 = 141.72/x
  3. Step 3: Cross multiply
    220.35x = 304.14 × 141.72
  4. Step 4: Simplify right side
    220.35x = 43,102.72
  5. Step 5: Solve for x
    x = 43,102.72/220.35
  6. Step 6: Final answer
    x = 195.61

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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.