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Finding the Fourth Proportional to 231.35, 345.96 and 154.20

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Solution

The fourth proportional to 231.35, 345.96 and 154.20 is: 230.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.35 : 345.96 = 154.20 : x
  2. Step 2: Convert to fraction form
    231.35/345.96 = 154.20/x
  3. Step 3: Cross multiply
    231.35x = 345.96 × 154.20
  4. Step 4: Simplify right side
    231.35x = 53,347.03
  5. Step 5: Solve for x
    x = 53,347.03/231.35
  6. Step 6: Final answer
    x = 230.59

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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.