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Finding the Fourth Proportional to 226.48, 312.42 and 148.84

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Solution

The fourth proportional to 226.48, 312.42 and 148.84 is: 205.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.48 : 312.42 = 148.84 : x
  2. Step 2: Convert to fraction form
    226.48/312.42 = 148.84/x
  3. Step 3: Cross multiply
    226.48x = 312.42 × 148.84
  4. Step 4: Simplify right side
    226.48x = 46,500.59
  5. Step 5: Solve for x
    x = 46,500.59/226.48
  6. Step 6: Final answer
    x = 205.32

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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.