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Finding the Fourth Proportional to 231.12, 318.91 and 137.87

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Solution

The fourth proportional to 231.12, 318.91 and 137.87 is: 190.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.12 : 318.91 = 137.87 : x
  2. Step 2: Convert to fraction form
    231.12/318.91 = 137.87/x
  3. Step 3: Cross multiply
    231.12x = 318.91 × 137.87
  4. Step 4: Simplify right side
    231.12x = 43,968.12
  5. Step 5: Solve for x
    x = 43,968.12/231.12
  6. Step 6: Final answer
    x = 190.24

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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.