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Finding the Fourth Proportional to 142.46, 195.44 and 135.57

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Solution

The fourth proportional to 142.46, 195.44 and 135.57 is: 186.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.46 : 195.44 = 135.57 : x
  2. Step 2: Convert to fraction form
    142.46/195.44 = 135.57/x
  3. Step 3: Cross multiply
    142.46x = 195.44 × 135.57
  4. Step 4: Simplify right side
    142.46x = 26,496.14
  5. Step 5: Solve for x
    x = 26,496.14/142.46
  6. Step 6: Final answer
    x = 186.00

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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.