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Finding the Fourth Proportional to 423.66, 584.18 and 330.24

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Solution

The fourth proportional to 423.66, 584.18 and 330.24 is: 455.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.66 : 584.18 = 330.24 : x
  2. Step 2: Convert to fraction form
    423.66/584.18 = 330.24/x
  3. Step 3: Cross multiply
    423.66x = 584.18 × 330.24
  4. Step 4: Simplify right side
    423.66x = 192,919.60
  5. Step 5: Solve for x
    x = 192,919.60/423.66
  6. Step 6: Final answer
    x = 455.36

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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.