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Finding the Fourth Proportional to 365.82, 546.32 and 325.50

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Solution

The fourth proportional to 365.82, 546.32 and 325.50 is: 486.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.82 : 546.32 = 325.50 : x
  2. Step 2: Convert to fraction form
    365.82/546.32 = 325.50/x
  3. Step 3: Cross multiply
    365.82x = 546.32 × 325.50
  4. Step 4: Simplify right side
    365.82x = 177,825.53
  5. Step 5: Solve for x
    x = 177,825.53/365.82
  6. Step 6: Final answer
    x = 486.10

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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.