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Finding the Fourth Proportional to 187.14, 280.14 and 157.63

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Solution

The fourth proportional to 187.14, 280.14 and 157.63 is: 235.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.14 : 280.14 = 157.63 : x
  2. Step 2: Convert to fraction form
    187.14/280.14 = 157.63/x
  3. Step 3: Cross multiply
    187.14x = 280.14 × 157.63
  4. Step 4: Simplify right side
    187.14x = 44,158.47
  5. Step 5: Solve for x
    x = 44,158.47/187.14
  6. Step 6: Final answer
    x = 235.96

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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.