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Finding the Fourth Proportional to 187.53, 280.06 and 157.12

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Solution

The fourth proportional to 187.53, 280.06 and 157.12 is: 234.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.53 : 280.06 = 157.12 : x
  2. Step 2: Convert to fraction form
    187.53/280.06 = 157.12/x
  3. Step 3: Cross multiply
    187.53x = 280.06 × 157.12
  4. Step 4: Simplify right side
    187.53x = 44,003.03
  5. Step 5: Solve for x
    x = 44,003.03/187.53
  6. Step 6: Final answer
    x = 234.65

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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.