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Finding the Fourth Proportional to 187.09, 258.28 and 142.90

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Solution

The fourth proportional to 187.09, 258.28 and 142.90 is: 197.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.09 : 258.28 = 142.90 : x
  2. Step 2: Convert to fraction form
    187.09/258.28 = 142.90/x
  3. Step 3: Cross multiply
    187.09x = 258.28 × 142.90
  4. Step 4: Simplify right side
    187.09x = 36,907.37
  5. Step 5: Solve for x
    x = 36,907.37/187.09
  6. Step 6: Final answer
    x = 197.27

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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.