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Finding the Fourth Proportional to 420.11, 582.21 and 414.24

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Solution

The fourth proportional to 420.11, 582.21 and 414.24 is: 574.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.11 : 582.21 = 414.24 : x
  2. Step 2: Convert to fraction form
    420.11/582.21 = 414.24/x
  3. Step 3: Cross multiply
    420.11x = 582.21 × 414.24
  4. Step 4: Simplify right side
    420.11x = 241,174.67
  5. Step 5: Solve for x
    x = 241,174.67/420.11
  6. Step 6: Final answer
    x = 574.07

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.