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Finding the Fourth Proportional to 212.38, 292.88 and 138.67

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Solution

The fourth proportional to 212.38, 292.88 and 138.67 is: 191.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.38 : 292.88 = 138.67 : x
  2. Step 2: Convert to fraction form
    212.38/292.88 = 138.67/x
  3. Step 3: Cross multiply
    212.38x = 292.88 × 138.67
  4. Step 4: Simplify right side
    212.38x = 40,613.67
  5. Step 5: Solve for x
    x = 40,613.67/212.38
  6. Step 6: Final answer
    x = 191.23

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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.