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Finding the Fourth Proportional to 220.78, 304.54 and 183.61

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Solution

The fourth proportional to 220.78, 304.54 and 183.61 is: 253.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.78 : 304.54 = 183.61 : x
  2. Step 2: Convert to fraction form
    220.78/304.54 = 183.61/x
  3. Step 3: Cross multiply
    220.78x = 304.54 × 183.61
  4. Step 4: Simplify right side
    220.78x = 55,916.59
  5. Step 5: Solve for x
    x = 55,916.59/220.78
  6. Step 6: Final answer
    x = 253.27

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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.