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Finding the Fourth Proportional to 140.42, 192.64 and 136.46

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Solution

The fourth proportional to 140.42, 192.64 and 136.46 is: 187.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.42 : 192.64 = 136.46 : x
  2. Step 2: Convert to fraction form
    140.42/192.64 = 136.46/x
  3. Step 3: Cross multiply
    140.42x = 192.64 × 136.46
  4. Step 4: Simplify right side
    140.42x = 26,287.65
  5. Step 5: Solve for x
    x = 26,287.65/140.42
  6. Step 6: Final answer
    x = 187.21

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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.