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Finding the Fourth Proportional to 226.95, 340.50 and 96.89

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Solution

The fourth proportional to 226.95, 340.50 and 96.89 is: 145.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.95 : 340.50 = 96.89 : x
  2. Step 2: Convert to fraction form
    226.95/340.50 = 96.89/x
  3. Step 3: Cross multiply
    226.95x = 340.50 × 96.89
  4. Step 4: Simplify right side
    226.95x = 32,991.65
  5. Step 5: Solve for x
    x = 32,991.65/226.95
  6. Step 6: Final answer
    x = 145.37

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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.