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Finding the Fourth Proportional to 140.94, 193.59 and 128.66

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Solution

The fourth proportional to 140.94, 193.59 and 128.66 is: 176.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.94 : 193.59 = 128.66 : x
  2. Step 2: Convert to fraction form
    140.94/193.59 = 128.66/x
  3. Step 3: Cross multiply
    140.94x = 193.59 × 128.66
  4. Step 4: Simplify right side
    140.94x = 24,906.32
  5. Step 5: Solve for x
    x = 24,906.32/140.94
  6. Step 6: Final answer
    x = 176.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.