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Finding the Fourth Proportional to 187.94, 280.76 and 157.18

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Solution

The fourth proportional to 187.94, 280.76 and 157.18 is: 234.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.94 : 280.76 = 157.18 : x
  2. Step 2: Convert to fraction form
    187.94/280.76 = 157.18/x
  3. Step 3: Cross multiply
    187.94x = 280.76 × 157.18
  4. Step 4: Simplify right side
    187.94x = 44,128.96
  5. Step 5: Solve for x
    x = 44,128.96/187.94
  6. Step 6: Final answer
    x = 234.81

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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.