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Finding the Fourth Proportional to 185.40, 277.92 and 137.16

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Solution

The fourth proportional to 185.40, 277.92 and 137.16 is: 205.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.40 : 277.92 = 137.16 : x
  2. Step 2: Convert to fraction form
    185.40/277.92 = 137.16/x
  3. Step 3: Cross multiply
    185.40x = 277.92 × 137.16
  4. Step 4: Simplify right side
    185.40x = 38,119.51
  5. Step 5: Solve for x
    x = 38,119.51/185.40
  6. Step 6: Final answer
    x = 205.61

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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.