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Finding the Fourth Proportional to 185.23, 277.62 and 104.05

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Solution

The fourth proportional to 185.23, 277.62 and 104.05 is: 155.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.23 : 277.62 = 104.05 : x
  2. Step 2: Convert to fraction form
    185.23/277.62 = 104.05/x
  3. Step 3: Cross multiply
    185.23x = 277.62 × 104.05
  4. Step 4: Simplify right side
    185.23x = 28,886.36
  5. Step 5: Solve for x
    x = 28,886.36/185.23
  6. Step 6: Final answer
    x = 155.95

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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.