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Finding the Fourth Proportional to 187.76, 280.09 and 159.05

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Solution

The fourth proportional to 187.76, 280.09 and 159.05 is: 237.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.76 : 280.09 = 159.05 : x
  2. Step 2: Convert to fraction form
    187.76/280.09 = 159.05/x
  3. Step 3: Cross multiply
    187.76x = 280.09 × 159.05
  4. Step 4: Simplify right side
    187.76x = 44,548.31
  5. Step 5: Solve for x
    x = 44,548.31/187.76
  6. Step 6: Final answer
    x = 237.26

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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.