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Finding the Fourth Proportional to 325.82, 485.91 and 309.71

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Solution

The fourth proportional to 325.82, 485.91 and 309.71 is: 461.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.82 : 485.91 = 309.71 : x
  2. Step 2: Convert to fraction form
    325.82/485.91 = 309.71/x
  3. Step 3: Cross multiply
    325.82x = 485.91 × 309.71
  4. Step 4: Simplify right side
    325.82x = 150,492.40
  5. Step 5: Solve for x
    x = 150,492.40/325.82
  6. Step 6: Final answer
    x = 461.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.