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Finding the Fourth Proportional to 222.33, 306.83 and 124.10

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Solution

The fourth proportional to 222.33, 306.83 and 124.10 is: 171.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.33 : 306.83 = 124.10 : x
  2. Step 2: Convert to fraction form
    222.33/306.83 = 124.10/x
  3. Step 3: Cross multiply
    222.33x = 306.83 × 124.10
  4. Step 4: Simplify right side
    222.33x = 38,077.60
  5. Step 5: Solve for x
    x = 38,077.60/222.33
  6. Step 6: Final answer
    x = 171.27

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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.