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Finding the Fourth Proportional to 231.90, 321.77 and 225.18

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Solution

The fourth proportional to 231.90, 321.77 and 225.18 is: 312.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.90 : 321.77 = 225.18 : x
  2. Step 2: Convert to fraction form
    231.90/321.77 = 225.18/x
  3. Step 3: Cross multiply
    231.90x = 321.77 × 225.18
  4. Step 4: Simplify right side
    231.90x = 72,455.04
  5. Step 5: Solve for x
    x = 72,455.04/231.90
  6. Step 6: Final answer
    x = 312.44

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.