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Finding the Fourth Proportional to 185, 277.26 and 103.88

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Solution

The fourth proportional to 185, 277.26 and 103.88 is: 155.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    185 : 277.26 = 103.88 : x
  2. Step 2: Convert to fraction form
    185/277.26 = 103.88/x
  3. Step 3: Cross multiply
    185x = 277.26 × 103.88
  4. Step 4: Simplify right side
    185x = 28,801.77
  5. Step 5: Solve for x
    x = 28,801.77/185
  6. Step 6: Final answer
    x = 155.69

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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.