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Finding the Fourth Proportional to 154.38, 213.04 and 85.38

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Solution

The fourth proportional to 154.38, 213.04 and 85.38 is: 117.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.38 : 213.04 = 85.38 : x
  2. Step 2: Convert to fraction form
    154.38/213.04 = 85.38/x
  3. Step 3: Cross multiply
    154.38x = 213.04 × 85.38
  4. Step 4: Simplify right side
    154.38x = 18,188.29
  5. Step 5: Solve for x
    x = 18,188.29/154.38
  6. Step 6: Final answer
    x = 117.82

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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.