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Finding the Fourth Proportional to 314.10, 433.33 and 226.58

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Solution

The fourth proportional to 314.10, 433.33 and 226.58 is: 312.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.10 : 433.33 = 226.58 : x
  2. Step 2: Convert to fraction form
    314.10/433.33 = 226.58/x
  3. Step 3: Cross multiply
    314.10x = 433.33 × 226.58
  4. Step 4: Simplify right side
    314.10x = 98,183.91
  5. Step 5: Solve for x
    x = 98,183.91/314.10
  6. Step 6: Final answer
    x = 312.59

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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.