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Finding the Fourth Proportional to 185.31, 276.64 and 173.07

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Solution

The fourth proportional to 185.31, 276.64 and 173.07 is: 258.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.31 : 276.64 = 173.07 : x
  2. Step 2: Convert to fraction form
    185.31/276.64 = 173.07/x
  3. Step 3: Cross multiply
    185.31x = 276.64 × 173.07
  4. Step 4: Simplify right side
    185.31x = 47,877.65
  5. Step 5: Solve for x
    x = 47,877.65/185.31
  6. Step 6: Final answer
    x = 258.37

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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.