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Finding the Fourth Proportional to 149.22, 222.71 and 124.92

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Solution

The fourth proportional to 149.22, 222.71 and 124.92 is: 186.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.22 : 222.71 = 124.92 : x
  2. Step 2: Convert to fraction form
    149.22/222.71 = 124.92/x
  3. Step 3: Cross multiply
    149.22x = 222.71 × 124.92
  4. Step 4: Simplify right side
    149.22x = 27,820.31
  5. Step 5: Solve for x
    x = 27,820.31/149.22
  6. Step 6: Final answer
    x = 186.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.