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Finding the Fourth Proportional to 325.76, 491.04 and 306.95

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Solution

The fourth proportional to 325.76, 491.04 and 306.95 is: 462.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.76 : 491.04 = 306.95 : x
  2. Step 2: Convert to fraction form
    325.76/491.04 = 306.95/x
  3. Step 3: Cross multiply
    325.76x = 491.04 × 306.95
  4. Step 4: Simplify right side
    325.76x = 150,722.27
  5. Step 5: Solve for x
    x = 150,722.27/325.76
  6. Step 6: Final answer
    x = 462.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.