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Finding the Fourth Proportional to 141.64, 194.22 and 127.77

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Solution

The fourth proportional to 141.64, 194.22 and 127.77 is: 175.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.64 : 194.22 = 127.77 : x
  2. Step 2: Convert to fraction form
    141.64/194.22 = 127.77/x
  3. Step 3: Cross multiply
    141.64x = 194.22 × 127.77
  4. Step 4: Simplify right side
    141.64x = 24,815.49
  5. Step 5: Solve for x
    x = 24,815.49/141.64
  6. Step 6: Final answer
    x = 175.20

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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.