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Finding the Fourth Proportional to 478, 659.28 and 330.88

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Solution

The fourth proportional to 478, 659.28 and 330.88 is: 456.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    478 : 659.28 = 330.88 : x
  2. Step 2: Convert to fraction form
    478/659.28 = 330.88/x
  3. Step 3: Cross multiply
    478x = 659.28 × 330.88
  4. Step 4: Simplify right side
    478x = 218,142.57
  5. Step 5: Solve for x
    x = 218,142.57/478
  6. Step 6: Final answer
    x = 456.37

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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.