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Finding the Fourth Proportional to 135.41, 187.73 and 128.49

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Solution

The fourth proportional to 135.41, 187.73 and 128.49 is: 178.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.41 : 187.73 = 128.49 : x
  2. Step 2: Convert to fraction form
    135.41/187.73 = 128.49/x
  3. Step 3: Cross multiply
    135.41x = 187.73 × 128.49
  4. Step 4: Simplify right side
    135.41x = 24,120.79
  5. Step 5: Solve for x
    x = 24,120.79/135.41
  6. Step 6: Final answer
    x = 178.14

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Why These Related Problems?

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