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Finding the Fourth Proportional to 173.19, 259.79 and 115.40

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Solution

The fourth proportional to 173.19, 259.79 and 115.40 is: 173.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.19 : 259.79 = 115.40 : x
  2. Step 2: Convert to fraction form
    173.19/259.79 = 115.40/x
  3. Step 3: Cross multiply
    173.19x = 259.79 × 115.40
  4. Step 4: Simplify right side
    173.19x = 29,979.84
  5. Step 5: Solve for x
    x = 29,979.84/173.19
  6. Step 6: Final answer
    x = 173.11

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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.