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Finding the Fourth Proportional to 220.83, 304.71 and 122.58

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Solution

The fourth proportional to 220.83, 304.71 and 122.58 is: 169.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.83 : 304.71 = 122.58 : x
  2. Step 2: Convert to fraction form
    220.83/304.71 = 122.58/x
  3. Step 3: Cross multiply
    220.83x = 304.71 × 122.58
  4. Step 4: Simplify right side
    220.83x = 37,351.35
  5. Step 5: Solve for x
    x = 37,351.35/220.83
  6. Step 6: Final answer
    x = 169.14

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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.