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Finding the Fourth Proportional to 423.58, 584.88 and 330.23

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Solution

The fourth proportional to 423.58, 584.88 and 330.23 is: 455.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.58 : 584.88 = 330.23 : x
  2. Step 2: Convert to fraction form
    423.58/584.88 = 330.23/x
  3. Step 3: Cross multiply
    423.58x = 584.88 × 330.23
  4. Step 4: Simplify right side
    423.58x = 193,144.92
  5. Step 5: Solve for x
    x = 193,144.92/423.58
  6. Step 6: Final answer
    x = 455.98

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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.