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Finding the Fourth Proportional to 187.57, 260.25 and 185.68

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Solution

The fourth proportional to 187.57, 260.25 and 185.68 is: 257.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.57 : 260.25 = 185.68 : x
  2. Step 2: Convert to fraction form
    187.57/260.25 = 185.68/x
  3. Step 3: Cross multiply
    187.57x = 260.25 × 185.68
  4. Step 4: Simplify right side
    187.57x = 48,323.22
  5. Step 5: Solve for x
    x = 48,323.22/187.57
  6. Step 6: Final answer
    x = 257.63

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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.