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Finding the Fourth Proportional to 365, 504.30 and 325.31

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Solution

The fourth proportional to 365, 504.30 and 325.31 is: 449.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    365 : 504.30 = 325.31 : x
  2. Step 2: Convert to fraction form
    365/504.30 = 325.31/x
  3. Step 3: Cross multiply
    365x = 504.30 × 325.31
  4. Step 4: Simplify right side
    365x = 164,053.83
  5. Step 5: Solve for x
    x = 164,053.83/365
  6. Step 6: Final answer
    x = 449.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.