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Finding the Fourth Proportional to 185.09, 275.76 and 180.18

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Solution

The fourth proportional to 185.09, 275.76 and 180.18 is: 268.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.09 : 275.76 = 180.18 : x
  2. Step 2: Convert to fraction form
    185.09/275.76 = 180.18/x
  3. Step 3: Cross multiply
    185.09x = 275.76 × 180.18
  4. Step 4: Simplify right side
    185.09x = 49,686.44
  5. Step 5: Solve for x
    x = 49,686.44/185.09
  6. Step 6: Final answer
    x = 268.45

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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.