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Finding the Fourth Proportional to 187.85, 280.49 and 160.52

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Solution

The fourth proportional to 187.85, 280.49 and 160.52 is: 239.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.85 : 280.49 = 160.52 : x
  2. Step 2: Convert to fraction form
    187.85/280.49 = 160.52/x
  3. Step 3: Cross multiply
    187.85x = 280.49 × 160.52
  4. Step 4: Simplify right side
    187.85x = 45,022.05
  5. Step 5: Solve for x
    x = 45,022.05/187.85
  6. Step 6: Final answer
    x = 239.67

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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.