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Finding the Fourth Proportional to 220.23, 330.39 and 75.93

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Solution

The fourth proportional to 220.23, 330.39 and 75.93 is: 113.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.23 : 330.39 = 75.93 : x
  2. Step 2: Convert to fraction form
    220.23/330.39 = 75.93/x
  3. Step 3: Cross multiply
    220.23x = 330.39 × 75.93
  4. Step 4: Simplify right side
    220.23x = 25,086.51
  5. Step 5: Solve for x
    x = 25,086.51/220.23
  6. Step 6: Final answer
    x = 113.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.