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Finding the Fourth Proportional to 231.77, 345.37 and 224.43

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Solution

The fourth proportional to 231.77, 345.37 and 224.43 is: 334.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.77 : 345.37 = 224.43 : x
  2. Step 2: Convert to fraction form
    231.77/345.37 = 224.43/x
  3. Step 3: Cross multiply
    231.77x = 345.37 × 224.43
  4. Step 4: Simplify right side
    231.77x = 77,512.96
  5. Step 5: Solve for x
    x = 77,512.96/231.77
  6. Step 6: Final answer
    x = 334.44

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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.