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Finding the Fourth Proportional to 185.25, 277.19 and 116.45

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Solution

The fourth proportional to 185.25, 277.19 and 116.45 is: 174.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.25 : 277.19 = 116.45 : x
  2. Step 2: Convert to fraction form
    185.25/277.19 = 116.45/x
  3. Step 3: Cross multiply
    185.25x = 277.19 × 116.45
  4. Step 4: Simplify right side
    185.25x = 32,278.89
  5. Step 5: Solve for x
    x = 32,278.89/185.25
  6. Step 6: Final answer
    x = 174.24

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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.