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Finding the Fourth Proportional to 423.52, 584.64 and 330.52

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Solution

The fourth proportional to 423.52, 584.64 and 330.52 is: 456.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.52 : 584.64 = 330.52 : x
  2. Step 2: Convert to fraction form
    423.52/584.64 = 330.52/x
  3. Step 3: Cross multiply
    423.52x = 584.64 × 330.52
  4. Step 4: Simplify right side
    423.52x = 193,235.21
  5. Step 5: Solve for x
    x = 193,235.21/423.52
  6. Step 6: Final answer
    x = 456.26

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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.