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Finding the Fourth Proportional to 117.28, 175.91 and 31.78

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Solution

The fourth proportional to 117.28, 175.91 and 31.78 is: 47.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.28 : 175.91 = 31.78 : x
  2. Step 2: Convert to fraction form
    117.28/175.91 = 31.78/x
  3. Step 3: Cross multiply
    117.28x = 175.91 × 31.78
  4. Step 4: Simplify right side
    117.28x = 5,590.42
  5. Step 5: Solve for x
    x = 5,590.42/117.28
  6. Step 6: Final answer
    x = 47.67

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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.