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Finding the Fourth Proportional to 185.56, 277.09 and 162.25

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Solution

The fourth proportional to 185.56, 277.09 and 162.25 is: 242.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.56 : 277.09 = 162.25 : x
  2. Step 2: Convert to fraction form
    185.56/277.09 = 162.25/x
  3. Step 3: Cross multiply
    185.56x = 277.09 × 162.25
  4. Step 4: Simplify right side
    185.56x = 44,956.47
  5. Step 5: Solve for x
    x = 44,956.47/185.56
  6. Step 6: Final answer
    x = 242.28

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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.