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Finding the Fourth Proportional to 187.70, 280.74 and 110.48

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Solution

The fourth proportional to 187.70, 280.74 and 110.48 is: 165.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.70 : 280.74 = 110.48 : x
  2. Step 2: Convert to fraction form
    187.70/280.74 = 110.48/x
  3. Step 3: Cross multiply
    187.70x = 280.74 × 110.48
  4. Step 4: Simplify right side
    187.70x = 31,016.16
  5. Step 5: Solve for x
    x = 31,016.16/187.70
  6. Step 6: Final answer
    x = 165.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.