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Finding the Fourth Proportional to 185.51, 255.78 and 165.90

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Solution

The fourth proportional to 185.51, 255.78 and 165.90 is: 228.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.51 : 255.78 = 165.90 : x
  2. Step 2: Convert to fraction form
    185.51/255.78 = 165.90/x
  3. Step 3: Cross multiply
    185.51x = 255.78 × 165.90
  4. Step 4: Simplify right side
    185.51x = 42,433.90
  5. Step 5: Solve for x
    x = 42,433.90/185.51
  6. Step 6: Final answer
    x = 228.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.