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Finding the Fourth Proportional to 185.20, 257.35 and 183.32

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Solution

The fourth proportional to 185.20, 257.35 and 183.32 is: 254.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.20 : 257.35 = 183.32 : x
  2. Step 2: Convert to fraction form
    185.20/257.35 = 183.32/x
  3. Step 3: Cross multiply
    185.20x = 257.35 × 183.32
  4. Step 4: Simplify right side
    185.20x = 47,177.40
  5. Step 5: Solve for x
    x = 47,177.40/185.20
  6. Step 6: Final answer
    x = 254.74

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.