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Finding the Fourth Proportional to 140.32, 192.36 and 138.08

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Solution

The fourth proportional to 140.32, 192.36 and 138.08 is: 189.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.32 : 192.36 = 138.08 : x
  2. Step 2: Convert to fraction form
    140.32/192.36 = 138.08/x
  3. Step 3: Cross multiply
    140.32x = 192.36 × 138.08
  4. Step 4: Simplify right side
    140.32x = 26,561.07
  5. Step 5: Solve for x
    x = 26,561.07/140.32
  6. Step 6: Final answer
    x = 189.29

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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.