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Finding the Fourth Proportional to 423.04, 584.04 and 330

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Solution

The fourth proportional to 423.04, 584.04 and 330 is: 455.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.04 : 584.04 = 330 : x
  2. Step 2: Convert to fraction form
    423.04/584.04 = 330/x
  3. Step 3: Cross multiply
    423.04x = 584.04 × 330
  4. Step 4: Simplify right side
    423.04x = 192,733.20
  5. Step 5: Solve for x
    x = 192,733.20/423.04
  6. Step 6: Final answer
    x = 455.59

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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.