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Finding the Fourth Proportional to 220.66, 330.83 and 105.01

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Solution

The fourth proportional to 220.66, 330.83 and 105.01 is: 157.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.66 : 330.83 = 105.01 : x
  2. Step 2: Convert to fraction form
    220.66/330.83 = 105.01/x
  3. Step 3: Cross multiply
    220.66x = 330.83 × 105.01
  4. Step 4: Simplify right side
    220.66x = 34,740.87
  5. Step 5: Solve for x
    x = 34,740.87/220.66
  6. Step 6: Final answer
    x = 157.44

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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.