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Finding the Fourth Proportional to 185.55, 257.25 and 176.31

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Solution

The fourth proportional to 185.55, 257.25 and 176.31 is: 244.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.55 : 257.25 = 176.31 : x
  2. Step 2: Convert to fraction form
    185.55/257.25 = 176.31/x
  3. Step 3: Cross multiply
    185.55x = 257.25 × 176.31
  4. Step 4: Simplify right side
    185.55x = 45,355.75
  5. Step 5: Solve for x
    x = 45,355.75/185.55
  6. Step 6: Final answer
    x = 244.44

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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.