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Finding the Fourth Proportional to 187.95, 280.81 and 181.57

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Solution

The fourth proportional to 187.95, 280.81 and 181.57 is: 271.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.95 : 280.81 = 181.57 : x
  2. Step 2: Convert to fraction form
    187.95/280.81 = 181.57/x
  3. Step 3: Cross multiply
    187.95x = 280.81 × 181.57
  4. Step 4: Simplify right side
    187.95x = 50,986.67
  5. Step 5: Solve for x
    x = 50,986.67/187.95
  6. Step 6: Final answer
    x = 271.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.