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Finding the Fourth Proportional to 185.40, 275.67 and 179.31

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Solution

The fourth proportional to 185.40, 275.67 and 179.31 is: 266.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.40 : 275.67 = 179.31 : x
  2. Step 2: Convert to fraction form
    185.40/275.67 = 179.31/x
  3. Step 3: Cross multiply
    185.40x = 275.67 × 179.31
  4. Step 4: Simplify right side
    185.40x = 49,430.39
  5. Step 5: Solve for x
    x = 49,430.39/185.40
  6. Step 6: Final answer
    x = 266.61

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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.