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Finding the Fourth Proportional to 137.08, 204.71 and 120.52

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Solution

The fourth proportional to 137.08, 204.71 and 120.52 is: 179.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.08 : 204.71 = 120.52 : x
  2. Step 2: Convert to fraction form
    137.08/204.71 = 120.52/x
  3. Step 3: Cross multiply
    137.08x = 204.71 × 120.52
  4. Step 4: Simplify right side
    137.08x = 24,671.65
  5. Step 5: Solve for x
    x = 24,671.65/137.08
  6. Step 6: Final answer
    x = 179.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.