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Finding the Fourth Proportional to 421.69, 582.18 and 395.54

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Solution

The fourth proportional to 421.69, 582.18 and 395.54 is: 546.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.69 : 582.18 = 395.54 : x
  2. Step 2: Convert to fraction form
    421.69/582.18 = 395.54/x
  3. Step 3: Cross multiply
    421.69x = 582.18 × 395.54
  4. Step 4: Simplify right side
    421.69x = 230,272.57
  5. Step 5: Solve for x
    x = 230,272.57/421.69
  6. Step 6: Final answer
    x = 546.07

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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.