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Finding the Fourth Proportional to 423.36, 584.25 and 318.28

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Solution

The fourth proportional to 423.36, 584.25 and 318.28 is: 439.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.36 : 584.25 = 318.28 : x
  2. Step 2: Convert to fraction form
    423.36/584.25 = 318.28/x
  3. Step 3: Cross multiply
    423.36x = 584.25 × 318.28
  4. Step 4: Simplify right side
    423.36x = 185,953.53
  5. Step 5: Solve for x
    x = 185,953.53/423.36
  6. Step 6: Final answer
    x = 439.23

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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.