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Finding the Fourth Proportional to 416.53, 571.21 and 395.47

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Solution

The fourth proportional to 416.53, 571.21 and 395.47 is: 542.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.53 : 571.21 = 395.47 : x
  2. Step 2: Convert to fraction form
    416.53/571.21 = 395.47/x
  3. Step 3: Cross multiply
    416.53x = 571.21 × 395.47
  4. Step 4: Simplify right side
    416.53x = 225,896.42
  5. Step 5: Solve for x
    x = 225,896.42/416.53
  6. Step 6: Final answer
    x = 542.33

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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.