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Finding the Fourth Proportional to 429.80, 594.02 and 330.60

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Solution

The fourth proportional to 429.80, 594.02 and 330.60 is: 456.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.80 : 594.02 = 330.60 : x
  2. Step 2: Convert to fraction form
    429.80/594.02 = 330.60/x
  3. Step 3: Cross multiply
    429.80x = 594.02 × 330.60
  4. Step 4: Simplify right side
    429.80x = 196,383.01
  5. Step 5: Solve for x
    x = 196,383.01/429.80
  6. Step 6: Final answer
    x = 456.92

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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.