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Finding the Fourth Proportional to 142.10, 195.84 and 138.15

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Solution

The fourth proportional to 142.10, 195.84 and 138.15 is: 190.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.10 : 195.84 = 138.15 : x
  2. Step 2: Convert to fraction form
    142.10/195.84 = 138.15/x
  3. Step 3: Cross multiply
    142.10x = 195.84 × 138.15
  4. Step 4: Simplify right side
    142.10x = 27,055.30
  5. Step 5: Solve for x
    x = 27,055.30/142.10
  6. Step 6: Final answer
    x = 190.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.