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Finding the Fourth Proportional to 117.28, 176 and 69.28

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Solution

The fourth proportional to 117.28, 176 and 69.28 is: 103.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.28 : 176 = 69.28 : x
  2. Step 2: Convert to fraction form
    117.28/176 = 69.28/x
  3. Step 3: Cross multiply
    117.28x = 176 × 69.28
  4. Step 4: Simplify right side
    117.28x = 12,193.28
  5. Step 5: Solve for x
    x = 12,193.28/117.28
  6. Step 6: Final answer
    x = 103.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.