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Finding the Fourth Proportional to 187.84, 259.37 and 141.27

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Solution

The fourth proportional to 187.84, 259.37 and 141.27 is: 195.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.84 : 259.37 = 141.27 : x
  2. Step 2: Convert to fraction form
    187.84/259.37 = 141.27/x
  3. Step 3: Cross multiply
    187.84x = 259.37 × 141.27
  4. Step 4: Simplify right side
    187.84x = 36,641.20
  5. Step 5: Solve for x
    x = 36,641.20/187.84
  6. Step 6: Final answer
    x = 195.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.