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Finding the Fourth Proportional to 140.16, 194.40 and 134.40

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Solution

The fourth proportional to 140.16, 194.40 and 134.40 is: 186.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.16 : 194.40 = 134.40 : x
  2. Step 2: Convert to fraction form
    140.16/194.40 = 134.40/x
  3. Step 3: Cross multiply
    140.16x = 194.40 × 134.40
  4. Step 4: Simplify right side
    140.16x = 26,127.36
  5. Step 5: Solve for x
    x = 26,127.36/140.16
  6. Step 6: Final answer
    x = 186.41

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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.