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Finding the Fourth Proportional to 423.31, 582.22 and 340.23

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Solution

The fourth proportional to 423.31, 582.22 and 340.23 is: 467.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.31 : 582.22 = 340.23 : x
  2. Step 2: Convert to fraction form
    423.31/582.22 = 340.23/x
  3. Step 3: Cross multiply
    423.31x = 582.22 × 340.23
  4. Step 4: Simplify right side
    423.31x = 198,087.01
  5. Step 5: Solve for x
    x = 198,087.01/423.31
  6. Step 6: Final answer
    x = 467.95

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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.