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Finding the Fourth Proportional to 140.40, 194 and 127.28

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Solution

The fourth proportional to 140.40, 194 and 127.28 is: 175.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.40 : 194 = 127.28 : x
  2. Step 2: Convert to fraction form
    140.40/194 = 127.28/x
  3. Step 3: Cross multiply
    140.40x = 194 × 127.28
  4. Step 4: Simplify right side
    140.40x = 24,692.32
  5. Step 5: Solve for x
    x = 24,692.32/140.40
  6. Step 6: Final answer
    x = 175.87

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1.5x scale

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.