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Finding the Fourth Proportional to 493.30, 680.72 and 272.23

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Solution

The fourth proportional to 493.30, 680.72 and 272.23 is: 375.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.30 : 680.72 = 272.23 : x
  2. Step 2: Convert to fraction form
    493.30/680.72 = 272.23/x
  3. Step 3: Cross multiply
    493.30x = 680.72 × 272.23
  4. Step 4: Simplify right side
    493.30x = 185,314.70
  5. Step 5: Solve for x
    x = 185,314.70/493.30
  6. Step 6: Final answer
    x = 375.67

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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.