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Finding the Fourth Proportional to 154.78, 213.84 and 137.36

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Solution

The fourth proportional to 154.78, 213.84 and 137.36 is: 189.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.78 : 213.84 = 137.36 : x
  2. Step 2: Convert to fraction form
    154.78/213.84 = 137.36/x
  3. Step 3: Cross multiply
    154.78x = 213.84 × 137.36
  4. Step 4: Simplify right side
    154.78x = 29,373.60
  5. Step 5: Solve for x
    x = 29,373.60/154.78
  6. Step 6: Final answer
    x = 189.78

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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.