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Finding the Fourth Proportional to 173.45, 259.21 and 137

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Solution

The fourth proportional to 173.45, 259.21 and 137 is: 204.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.45 : 259.21 = 137 : x
  2. Step 2: Convert to fraction form
    173.45/259.21 = 137/x
  3. Step 3: Cross multiply
    173.45x = 259.21 × 137
  4. Step 4: Simplify right side
    173.45x = 35,511.77
  5. Step 5: Solve for x
    x = 35,511.77/173.45
  6. Step 6: Final answer
    x = 204.74

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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.