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Finding the Fourth Proportional to 137.02, 205.41 and 63.85

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Solution

The fourth proportional to 137.02, 205.41 and 63.85 is: 95.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.02 : 205.41 = 63.85 : x
  2. Step 2: Convert to fraction form
    137.02/205.41 = 63.85/x
  3. Step 3: Cross multiply
    137.02x = 205.41 × 63.85
  4. Step 4: Simplify right side
    137.02x = 13,115.37
  5. Step 5: Solve for x
    x = 13,115.37/137.02
  6. Step 6: Final answer
    x = 95.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.