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Finding the Fourth Proportional to 306.32, 421.64 and 231.44

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Solution

The fourth proportional to 306.32, 421.64 and 231.44 is: 318.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.32 : 421.64 = 231.44 : x
  2. Step 2: Convert to fraction form
    306.32/421.64 = 231.44/x
  3. Step 3: Cross multiply
    306.32x = 421.64 × 231.44
  4. Step 4: Simplify right side
    306.32x = 97,584.36
  5. Step 5: Solve for x
    x = 97,584.36/306.32
  6. Step 6: Final answer
    x = 318.57

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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.