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Finding the Fourth Proportional to 318.88, 438.96 and 231.40

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Solution

The fourth proportional to 318.88, 438.96 and 231.40 is: 318.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.88 : 438.96 = 231.40 : x
  2. Step 2: Convert to fraction form
    318.88/438.96 = 231.40/x
  3. Step 3: Cross multiply
    318.88x = 438.96 × 231.40
  4. Step 4: Simplify right side
    318.88x = 101,575.34
  5. Step 5: Solve for x
    x = 101,575.34/318.88
  6. Step 6: Final answer
    x = 318.54

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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.