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Finding the Fourth Proportional to 127, 175.26 and 80.38

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Solution

The fourth proportional to 127, 175.26 and 80.38 is: 110.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    127 : 175.26 = 80.38 : x
  2. Step 2: Convert to fraction form
    127/175.26 = 80.38/x
  3. Step 3: Cross multiply
    127x = 175.26 × 80.38
  4. Step 4: Simplify right side
    127x = 14,087.40
  5. Step 5: Solve for x
    x = 14,087.40/127
  6. Step 6: Final answer
    x = 110.92

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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.