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Finding the Fourth Proportional to 231.91, 346.51 and 223.84

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Solution

The fourth proportional to 231.91, 346.51 and 223.84 is: 334.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.91 : 346.51 = 223.84 : x
  2. Step 2: Convert to fraction form
    231.91/346.51 = 223.84/x
  3. Step 3: Cross multiply
    231.91x = 346.51 × 223.84
  4. Step 4: Simplify right side
    231.91x = 77,562.80
  5. Step 5: Solve for x
    x = 77,562.80/231.91
  6. Step 6: Final answer
    x = 334.45

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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.