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Finding the Fourth Proportional to 220.78, 304.32 and 155.17

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Solution

The fourth proportional to 220.78, 304.32 and 155.17 is: 213.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.78 : 304.32 = 155.17 : x
  2. Step 2: Convert to fraction form
    220.78/304.32 = 155.17/x
  3. Step 3: Cross multiply
    220.78x = 304.32 × 155.17
  4. Step 4: Simplify right side
    220.78x = 47,221.33
  5. Step 5: Solve for x
    x = 47,221.33/220.78
  6. Step 6: Final answer
    x = 213.88

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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.