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Finding the Fourth Proportional to 390.54, 536.46 and 324.66

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Solution

The fourth proportional to 390.54, 536.46 and 324.66 is: 445.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.54 : 536.46 = 324.66 : x
  2. Step 2: Convert to fraction form
    390.54/536.46 = 324.66/x
  3. Step 3: Cross multiply
    390.54x = 536.46 × 324.66
  4. Step 4: Simplify right side
    390.54x = 174,167.10
  5. Step 5: Solve for x
    x = 174,167.10/390.54
  6. Step 6: Final answer
    x = 445.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.