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Finding the Fourth Proportional to 423.44, 584.64 and 340.46

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Solution

The fourth proportional to 423.44, 584.64 and 340.46 is: 470.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.44 : 584.64 = 340.46 : x
  2. Step 2: Convert to fraction form
    423.44/584.64 = 340.46/x
  3. Step 3: Cross multiply
    423.44x = 584.64 × 340.46
  4. Step 4: Simplify right side
    423.44x = 199,046.53
  5. Step 5: Solve for x
    x = 199,046.53/423.44
  6. Step 6: Final answer
    x = 470.07

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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.