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Finding the Fourth Proportional to 135.09, 187.31 and 127.80

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Solution

The fourth proportional to 135.09, 187.31 and 127.80 is: 177.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.09 : 187.31 = 127.80 : x
  2. Step 2: Convert to fraction form
    135.09/187.31 = 127.80/x
  3. Step 3: Cross multiply
    135.09x = 187.31 × 127.80
  4. Step 4: Simplify right side
    135.09x = 23,937.58
  5. Step 5: Solve for x
    x = 23,937.58/135.09
  6. Step 6: Final answer
    x = 177.20

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.