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Finding the Fourth Proportional to 226.92, 312.96 and 149.40

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Solution

The fourth proportional to 226.92, 312.96 and 149.40 is: 206.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.92 : 312.96 = 149.40 : x
  2. Step 2: Convert to fraction form
    226.92/312.96 = 149.40/x
  3. Step 3: Cross multiply
    226.92x = 312.96 × 149.40
  4. Step 4: Simplify right side
    226.92x = 46,756.22
  5. Step 5: Solve for x
    x = 46,756.22/226.92
  6. Step 6: Final answer
    x = 206.05

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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.