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Finding the Fourth Proportional to 422.25, 582.54 and 311.99

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Solution

The fourth proportional to 422.25, 582.54 and 311.99 is: 430.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.25 : 582.54 = 311.99 : x
  2. Step 2: Convert to fraction form
    422.25/582.54 = 311.99/x
  3. Step 3: Cross multiply
    422.25x = 582.54 × 311.99
  4. Step 4: Simplify right side
    422.25x = 181,746.65
  5. Step 5: Solve for x
    x = 181,746.65/422.25
  6. Step 6: Final answer
    x = 430.42

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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.