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Finding the Fourth Proportional to 325.98, 491.36 and 308.34

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Solution

The fourth proportional to 325.98, 491.36 and 308.34 is: 464.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.98 : 491.36 = 308.34 : x
  2. Step 2: Convert to fraction form
    325.98/491.36 = 308.34/x
  3. Step 3: Cross multiply
    325.98x = 491.36 × 308.34
  4. Step 4: Simplify right side
    325.98x = 151,504.40
  5. Step 5: Solve for x
    x = 151,504.40/325.98
  6. Step 6: Final answer
    x = 464.77

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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.