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Finding the Fourth Proportional to 231.69, 347.19 and 154.37

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Solution

The fourth proportional to 231.69, 347.19 and 154.37 is: 231.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.69 : 347.19 = 154.37 : x
  2. Step 2: Convert to fraction form
    231.69/347.19 = 154.37/x
  3. Step 3: Cross multiply
    231.69x = 347.19 × 154.37
  4. Step 4: Simplify right side
    231.69x = 53,594.08
  5. Step 5: Solve for x
    x = 53,594.08/231.69
  6. Step 6: Final answer
    x = 231.32

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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.