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Finding the Fourth Proportional to 231.82, 318.98 and 224.98

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Solution

The fourth proportional to 231.82, 318.98 and 224.98 is: 309.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.82 : 318.98 = 224.98 : x
  2. Step 2: Convert to fraction form
    231.82/318.98 = 224.98/x
  3. Step 3: Cross multiply
    231.82x = 318.98 × 224.98
  4. Step 4: Simplify right side
    231.82x = 71,764.12
  5. Step 5: Solve for x
    x = 71,764.12/231.82
  6. Step 6: Final answer
    x = 309.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.