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Finding the Fourth Proportional to 230.90, 318.70 and 137.67

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Solution

The fourth proportional to 230.90, 318.70 and 137.67 is: 190.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.90 : 318.70 = 137.67 : x
  2. Step 2: Convert to fraction form
    230.90/318.70 = 137.67/x
  3. Step 3: Cross multiply
    230.90x = 318.70 × 137.67
  4. Step 4: Simplify right side
    230.90x = 43,874.41
  5. Step 5: Solve for x
    x = 43,874.41/230.90
  6. Step 6: Final answer
    x = 190.02

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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.