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Finding the Fourth Proportional to 226.16, 311.88 and 170.90

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Solution

The fourth proportional to 226.16, 311.88 and 170.90 is: 235.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.16 : 311.88 = 170.90 : x
  2. Step 2: Convert to fraction form
    226.16/311.88 = 170.90/x
  3. Step 3: Cross multiply
    226.16x = 311.88 × 170.90
  4. Step 4: Simplify right side
    226.16x = 53,300.29
  5. Step 5: Solve for x
    x = 53,300.29/226.16
  6. Step 6: Final answer
    x = 235.68

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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.