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Finding the Fourth Proportional to 231.88, 345.35 and 226.20

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Solution

The fourth proportional to 231.88, 345.35 and 226.20 is: 336.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.88 : 345.35 = 226.20 : x
  2. Step 2: Convert to fraction form
    231.88/345.35 = 226.20/x
  3. Step 3: Cross multiply
    231.88x = 345.35 × 226.20
  4. Step 4: Simplify right side
    231.88x = 78,118.17
  5. Step 5: Solve for x
    x = 78,118.17/231.88
  6. Step 6: Final answer
    x = 336.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.