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Finding the Fourth Proportional to 480.97, 721.25 and 151.82

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Solution

The fourth proportional to 480.97, 721.25 and 151.82 is: 227.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.97 : 721.25 = 151.82 : x
  2. Step 2: Convert to fraction form
    480.97/721.25 = 151.82/x
  3. Step 3: Cross multiply
    480.97x = 721.25 × 151.82
  4. Step 4: Simplify right side
    480.97x = 109,500.18
  5. Step 5: Solve for x
    x = 109,500.18/480.97
  6. Step 6: Final answer
    x = 227.67

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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.