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Finding the Fourth Proportional to 185.64, 256.37 and 165.27

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Solution

The fourth proportional to 185.64, 256.37 and 165.27 is: 228.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.64 : 256.37 = 165.27 : x
  2. Step 2: Convert to fraction form
    185.64/256.37 = 165.27/x
  3. Step 3: Cross multiply
    185.64x = 256.37 × 165.27
  4. Step 4: Simplify right side
    185.64x = 42,370.27
  5. Step 5: Solve for x
    x = 42,370.27/185.64
  6. Step 6: Final answer
    x = 228.24

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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.