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Finding the Fourth Proportional to 142.19, 195.38 and 113.03

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Solution

The fourth proportional to 142.19, 195.38 and 113.03 is: 155.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.19 : 195.38 = 113.03 : x
  2. Step 2: Convert to fraction form
    142.19/195.38 = 113.03/x
  3. Step 3: Cross multiply
    142.19x = 195.38 × 113.03
  4. Step 4: Simplify right side
    142.19x = 22,084.37
  5. Step 5: Solve for x
    x = 22,084.37/142.19
  6. Step 6: Final answer
    x = 155.31

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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.