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Finding the Fourth Proportional to 325.11, 484.32 and 309.63

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Solution

The fourth proportional to 325.11, 484.32 and 309.63 is: 461.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.11 : 484.32 = 309.63 : x
  2. Step 2: Convert to fraction form
    325.11/484.32 = 309.63/x
  3. Step 3: Cross multiply
    325.11x = 484.32 × 309.63
  4. Step 4: Simplify right side
    325.11x = 149,960.00
  5. Step 5: Solve for x
    x = 149,960.00/325.11
  6. Step 6: Final answer
    x = 461.26

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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.