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Finding the Fourth Proportional to 137.08, 205.53 and 55.82

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Solution

The fourth proportional to 137.08, 205.53 and 55.82 is: 83.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.08 : 205.53 = 55.82 : x
  2. Step 2: Convert to fraction form
    137.08/205.53 = 55.82/x
  3. Step 3: Cross multiply
    137.08x = 205.53 × 55.82
  4. Step 4: Simplify right side
    137.08x = 11,472.41
  5. Step 5: Solve for x
    x = 11,472.41/137.08
  6. Step 6: Final answer
    x = 83.69

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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.