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Finding the Fourth Proportional to 173.68, 259.15 and 154.09

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Solution

The fourth proportional to 173.68, 259.15 and 154.09 is: 229.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.68 : 259.15 = 154.09 : x
  2. Step 2: Convert to fraction form
    173.68/259.15 = 154.09/x
  3. Step 3: Cross multiply
    173.68x = 259.15 × 154.09
  4. Step 4: Simplify right side
    173.68x = 39,932.42
  5. Step 5: Solve for x
    x = 39,932.42/173.68
  6. Step 6: Final answer
    x = 229.92

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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.